## Algebra 1: Common Core (15th Edition)

$t=-70$
We need to get the t alone. Thus, we cancel out the subtraction by adding 3 on both sides. This leaves us with the equation $1/5 t=-14.$ In this equation, t is being multiplied by a fraction, which we must cancel out. In order to cancel out a fraction being multiplied by a variable, we multiply both sides of the equation by the reciprocal of the fraction, which is the fraction flipped upside down. (For instance, the reciprocal of ⅖ is 5/2). Thus, we multiply both sides of the equation by 5/1 to obtain that $t=-70$. We plug -70 in for t and confirm that our answer is, indeed, correct.