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Simplifying -2t + 5 + -9 = 3(t + -4) + -5 Reorder the terms: 5 + -9 + -2t = 3(t + -4) + -5 Combine like terms: 5 + -9 = -4 -4 + -2t = 3(t + -4) + -5 Reorder the terms: -4 + -2t = 3(-4 + t) + -5 -4 + -2t = (-4 * 3 + t * 3) + -5 -4 + -2t = (-12 + 3t) + -5 Reorder the terms: -4 + -2t = -12 + -5 + 3t Combine like terms: -12 + -5 = -17 -4 + -2t = -17 + 3t Solving -4 + -2t = -17 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. -4 + -2t + -3t = -17 + 3t + -3t Combine like terms: -2t + -3t = -5t -4 + -5t = -17 + 3t + -3t Combine like terms: 3t + -3t = 0 -4 + -5t = -17 + 0 -4 + -5t = -17 Add '4' to each side of the equation. -4 + 4 + -5t = -17 + 4 Combine like terms: -4 + 4 = 0 0 + -5t = -17 + 4 -5t = -17 + 4 Combine like terms: -17 + 4 = -13 -5t = -13 Divide each side by '-5'. t = 2.6 Simplifying t = 2.6
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