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Simplifying 7(t + -2) + -8(2t + 9) = -10(t + 8) + -9 Reorder the terms: 7(-2 + t) + -8(2t + 9) = -10(t + 8) + -9 (-2 * 7 + t * 7) + -8(2t + 9) = -10(t + 8) + -9 (-14 + 7t) + -8(2t + 9) = -10(t + 8) + -9 Reorder the terms: -14 + 7t + -8(9 + 2t) = -10(t + 8) + -9 -14 + 7t + (9 * -8 + 2t * -8) = -10(t + 8) + -9 -14 + 7t + (-72 + -16t) = -10(t + 8) + -9 Reorder the terms: -14 + -72 + 7t + -16t = -10(t + 8) + -9 Combine like terms: -14 + -72 = -86 -86 + 7t + -16t = -10(t + 8) + -9 Combine like terms: 7t + -16t = -9t -86 + -9t = -10(t + 8) + -9 Reorder the terms: -86 + -9t = -10(8 + t) + -9 -86 + -9t = (8 * -10 + t * -10) + -9 -86 + -9t = (-80 + -10t) + -9 Reorder the terms: -86 + -9t = -80 + -9 + -10t Combine like terms: -80 + -9 = -89 -86 + -9t = -89 + -10t Solving -86 + -9t = -89 + -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. -86 + -9t + 10t = -89 + -10t + 10t Combine like terms: -9t + 10t = 1t -86 + 1t = -89 + -10t + 10t Combine like terms: -10t + 10t = 0 -86 + 1t = -89 + 0 -86 + 1t = -89 Add '86' to each side of the equation. -86 + 86 + 1t = -89 + 86 Combine like terms: -86 + 86 = 0 0 + 1t = -89 + 86 1t = -89 + 86 Combine like terms: -89 + 86 = -3 1t = -3 Divide each side by '1'. t = -3 Simplifying t = -3
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