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Simplifying t + -1(7t + 4) = 5(2t + -3) + -14 Reorder the terms: t + -1(4 + 7t) = 5(2t + -3) + -14 t + (4 * -1 + 7t * -1) = 5(2t + -3) + -14 t + (-4 + -7t) = 5(2t + -3) + -14 Reorder the terms: -4 + t + -7t = 5(2t + -3) + -14 Combine like terms: t + -7t = -6t -4 + -6t = 5(2t + -3) + -14 Reorder the terms: -4 + -6t = 5(-3 + 2t) + -14 -4 + -6t = (-3 * 5 + 2t * 5) + -14 -4 + -6t = (-15 + 10t) + -14 Reorder the terms: -4 + -6t = -15 + -14 + 10t Combine like terms: -15 + -14 = -29 -4 + -6t = -29 + 10t Solving -4 + -6t = -29 + 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. -4 + -6t + -10t = -29 + 10t + -10t Combine like terms: -6t + -10t = -16t -4 + -16t = -29 + 10t + -10t Combine like terms: 10t + -10t = 0 -4 + -16t = -29 + 0 -4 + -16t = -29 Add '4' to each side of the equation. -4 + 4 + -16t = -29 + 4 Combine like terms: -4 + 4 = 0 0 + -16t = -29 + 4 -16t = -29 + 4 Combine like terms: -29 + 4 = -25 -16t = -25 Divide each side by '-16'. t = 1.5625 Simplifying t = 1.5625
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