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Simplifying 27 + -3(t + 4) = 9(t + -2) + -15 Reorder the terms: 27 + -3(4 + t) = 9(t + -2) + -15 27 + (4 * -3 + t * -3) = 9(t + -2) + -15 27 + (-12 + -3t) = 9(t + -2) + -15 Combine like terms: 27 + -12 = 15 15 + -3t = 9(t + -2) + -15 Reorder the terms: 15 + -3t = 9(-2 + t) + -15 15 + -3t = (-2 * 9 + t * 9) + -15 15 + -3t = (-18 + 9t) + -15 Reorder the terms: 15 + -3t = -18 + -15 + 9t Combine like terms: -18 + -15 = -33 15 + -3t = -33 + 9t Solving 15 + -3t = -33 + 9t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-9t' to each side of the equation. 15 + -3t + -9t = -33 + 9t + -9t Combine like terms: -3t + -9t = -12t 15 + -12t = -33 + 9t + -9t Combine like terms: 9t + -9t = 0 15 + -12t = -33 + 0 15 + -12t = -33 Add '-15' to each side of the equation. 15 + -15 + -12t = -33 + -15 Combine like terms: 15 + -15 = 0 0 + -12t = -33 + -15 -12t = -33 + -15 Combine like terms: -33 + -15 = -48 -12t = -48 Divide each side by '-12'. t = 4 Simplifying t = 4
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