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Simplifying 4 + -3(t + 2) + 5 = 5(t + -1) + -7t Reorder the terms: 4 + -3(2 + t) + 5 = 5(t + -1) + -7t 4 + (2 * -3 + t * -3) + 5 = 5(t + -1) + -7t 4 + (-6 + -3t) + 5 = 5(t + -1) + -7t Reorder the terms: 4 + -6 + 5 + -3t = 5(t + -1) + -7t Combine like terms: 4 + -6 = -2 -2 + 5 + -3t = 5(t + -1) + -7t Combine like terms: -2 + 5 = 3 3 + -3t = 5(t + -1) + -7t Reorder the terms: 3 + -3t = 5(-1 + t) + -7t 3 + -3t = (-1 * 5 + t * 5) + -7t 3 + -3t = (-5 + 5t) + -7t Combine like terms: 5t + -7t = -2t 3 + -3t = -5 + -2t Solving 3 + -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. 3 + -3t + 2t = -5 + -2t + 2t Combine like terms: -3t + 2t = -1t 3 + -1t = -5 + -2t + 2t Combine like terms: -2t + 2t = 0 3 + -1t = -5 + 0 3 + -1t = -5 Add '-3' to each side of the equation. 3 + -3 + -1t = -5 + -3 Combine like terms: 3 + -3 = 0 0 + -1t = -5 + -3 -1t = -5 + -3 Combine like terms: -5 + -3 = -8 -1t = -8 Divide each side by '-1'. t = 8 Simplifying t = 8
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