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Simplifying -2t + -5t + -9 = 3(t + -4) + -5 Reorder the terms: -9 + -2t + -5t = 3(t + -4) + -5 Combine like terms: -2t + -5t = -7t -9 + -7t = 3(t + -4) + -5 Reorder the terms: -9 + -7t = 3(-4 + t) + -5 -9 + -7t = (-4 * 3 + t * 3) + -5 -9 + -7t = (-12 + 3t) + -5 Reorder the terms: -9 + -7t = -12 + -5 + 3t Combine like terms: -12 + -5 = -17 -9 + -7t = -17 + 3t Solving -9 + -7t = -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. -9 + -7t + -3t = -17 + 3t + -3t Combine like terms: -7t + -3t = -10t -9 + -10t = -17 + 3t + -3t Combine like terms: 3t + -3t = 0 -9 + -10t = -17 + 0 -9 + -10t = -17 Add '9' to each side of the equation. -9 + 9 + -10t = -17 + 9 Combine like terms: -9 + 9 = 0 0 + -10t = -17 + 9 -10t = -17 + 9 Combine like terms: -17 + 9 = -8 -10t = -8 Divide each side by '-10'. t = 0.8 Simplifying t = 0.8
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