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Simplifying 2t + -3 = 3(t + -4) Reorder the terms: -3 + 2t = 3(t + -4) Reorder the terms: -3 + 2t = 3(-4 + t) -3 + 2t = (-4 * 3 + t * 3) -3 + 2t = (-12 + 3t) Solving -3 + 2t = -12 + 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. -3 + 2t + -3t = -12 + 3t + -3t Combine like terms: 2t + -3t = -1t -3 + -1t = -12 + 3t + -3t Combine like terms: 3t + -3t = 0 -3 + -1t = -12 + 0 -3 + -1t = -12 Add '3' to each side of the equation. -3 + 3 + -1t = -12 + 3 Combine like terms: -3 + 3 = 0 0 + -1t = -12 + 3 -1t = -12 + 3 Combine like terms: -12 + 3 = -9 -1t = -9 Divide each side by '-1'. t = 9 Simplifying t = 9
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