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Simplifying -2 + 5t + -9 = 3(t + -4) + -5 Reorder the terms: -2 + -9 + 5t = 3(t + -4) + -5 Combine like terms: -2 + -9 = -11 -11 + 5t = 3(t + -4) + -5 Reorder the terms: -11 + 5t = 3(-4 + t) + -5 -11 + 5t = (-4 * 3 + t * 3) + -5 -11 + 5t = (-12 + 3t) + -5 Reorder the terms: -11 + 5t = -12 + -5 + 3t Combine like terms: -12 + -5 = -17 -11 + 5t = -17 + 3t Solving -11 + 5t = -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. -11 + 5t + -3t = -17 + 3t + -3t Combine like terms: 5t + -3t = 2t -11 + 2t = -17 + 3t + -3t Combine like terms: 3t + -3t = 0 -11 + 2t = -17 + 0 -11 + 2t = -17 Add '11' to each side of the equation. -11 + 11 + 2t = -17 + 11 Combine like terms: -11 + 11 = 0 0 + 2t = -17 + 11 2t = -17 + 11 Combine like terms: -17 + 11 = -6 2t = -6 Divide each side by '2'. t = -3 Simplifying t = -3
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