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Simplifying -5(t + -4) + -4(9 + -2t) = 2(t + -9) + 8 Reorder the terms: -5(-4 + t) + -4(9 + -2t) = 2(t + -9) + 8 (-4 * -5 + t * -5) + -4(9 + -2t) = 2(t + -9) + 8 (20 + -5t) + -4(9 + -2t) = 2(t + -9) + 8 20 + -5t + (9 * -4 + -2t * -4) = 2(t + -9) + 8 20 + -5t + (-36 + 8t) = 2(t + -9) + 8 Reorder the terms: 20 + -36 + -5t + 8t = 2(t + -9) + 8 Combine like terms: 20 + -36 = -16 -16 + -5t + 8t = 2(t + -9) + 8 Combine like terms: -5t + 8t = 3t -16 + 3t = 2(t + -9) + 8 Reorder the terms: -16 + 3t = 2(-9 + t) + 8 -16 + 3t = (-9 * 2 + t * 2) + 8 -16 + 3t = (-18 + 2t) + 8 Reorder the terms: -16 + 3t = -18 + 8 + 2t Combine like terms: -18 + 8 = -10 -16 + 3t = -10 + 2t Solving -16 + 3t = -10 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. -16 + 3t + -2t = -10 + 2t + -2t Combine like terms: 3t + -2t = 1t -16 + 1t = -10 + 2t + -2t Combine like terms: 2t + -2t = 0 -16 + 1t = -10 + 0 -16 + 1t = -10 Add '16' to each side of the equation. -16 + 16 + 1t = -10 + 16 Combine like terms: -16 + 16 = 0 0 + 1t = -10 + 16 1t = -10 + 16 Combine like terms: -10 + 16 = 6 1t = 6 Divide each side by '1'. t = 6 Simplifying t = 6
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