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Simplifying 2(t + -6) = 3t + -9 Reorder the terms: 2(-6 + t) = 3t + -9 (-6 * 2 + t * 2) = 3t + -9 (-12 + 2t) = 3t + -9 Reorder the terms: -12 + 2t = -9 + 3t Solving -12 + 2t = -9 + 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. -12 + 2t + -3t = -9 + 3t + -3t Combine like terms: 2t + -3t = -1t -12 + -1t = -9 + 3t + -3t Combine like terms: 3t + -3t = 0 -12 + -1t = -9 + 0 -12 + -1t = -9 Add '12' to each side of the equation. -12 + 12 + -1t = -9 + 12 Combine like terms: -12 + 12 = 0 0 + -1t = -9 + 12 -1t = -9 + 12 Combine like terms: -9 + 12 = 3 -1t = 3 Divide each side by '-1'. t = -3 Simplifying t = -3
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