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Simplifying -7(3 + t) = 5(2t + 6) (3 * -7 + t * -7) = 5(2t + 6) (-21 + -7t) = 5(2t + 6) Reorder the terms: -21 + -7t = 5(6 + 2t) -21 + -7t = (6 * 5 + 2t * 5) -21 + -7t = (30 + 10t) Solving -21 + -7t = 30 + 10t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-10t' to each side of the equation. -21 + -7t + -10t = 30 + 10t + -10t Combine like terms: -7t + -10t = -17t -21 + -17t = 30 + 10t + -10t Combine like terms: 10t + -10t = 0 -21 + -17t = 30 + 0 -21 + -17t = 30 Add '21' to each side of the equation. -21 + 21 + -17t = 30 + 21 Combine like terms: -21 + 21 = 0 0 + -17t = 30 + 21 -17t = 30 + 21 Combine like terms: 30 + 21 = 51 -17t = 51 Divide each side by '-17'. t = -3 Simplifying t = -3
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