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Simplifying -4(2 + -5) + 3t = 2t + -5 Combine like terms: 2 + -5 = -3 -4(-3) + 3t = 2t + -5 Multiply -4 * -3 12 + 3t = 2t + -5 Reorder the terms: 12 + 3t = -5 + 2t Solving 12 + 3t = -5 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. 12 + 3t + -2t = -5 + 2t + -2t Combine like terms: 3t + -2t = 1t 12 + 1t = -5 + 2t + -2t Combine like terms: 2t + -2t = 0 12 + 1t = -5 + 0 12 + 1t = -5 Add '-12' to each side of the equation. 12 + -12 + 1t = -5 + -12 Combine like terms: 12 + -12 = 0 0 + 1t = -5 + -12 1t = -5 + -12 Combine like terms: -5 + -12 = -17 1t = -17 Divide each side by '1'. t = -17 Simplifying t = -17
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