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Simplifying -4(t + -3) + -2(-7t + -8) = 9(t + 2) Reorder the terms: -4(-3 + t) + -2(-7t + -8) = 9(t + 2) (-3 * -4 + t * -4) + -2(-7t + -8) = 9(t + 2) (12 + -4t) + -2(-7t + -8) = 9(t + 2) Reorder the terms: 12 + -4t + -2(-8 + -7t) = 9(t + 2) 12 + -4t + (-8 * -2 + -7t * -2) = 9(t + 2) 12 + -4t + (16 + 14t) = 9(t + 2) Reorder the terms: 12 + 16 + -4t + 14t = 9(t + 2) Combine like terms: 12 + 16 = 28 28 + -4t + 14t = 9(t + 2) Combine like terms: -4t + 14t = 10t 28 + 10t = 9(t + 2) Reorder the terms: 28 + 10t = 9(2 + t) 28 + 10t = (2 * 9 + t * 9) 28 + 10t = (18 + 9t) Solving 28 + 10t = 18 + 9t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-9t' to each side of the equation. 28 + 10t + -9t = 18 + 9t + -9t Combine like terms: 10t + -9t = 1t 28 + 1t = 18 + 9t + -9t Combine like terms: 9t + -9t = 0 28 + 1t = 18 + 0 28 + 1t = 18 Add '-28' to each side of the equation. 28 + -28 + 1t = 18 + -28 Combine like terms: 28 + -28 = 0 0 + 1t = 18 + -28 1t = 18 + -28 Combine like terms: 18 + -28 = -10 1t = -10 Divide each side by '1'. t = -10 Simplifying t = -10
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