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Simplifying -7(t + -2) + -2(5 + -2t) = -4(t + -3) + -4 Reorder the terms: -7(-2 + t) + -2(5 + -2t) = -4(t + -3) + -4 (-2 * -7 + t * -7) + -2(5 + -2t) = -4(t + -3) + -4 (14 + -7t) + -2(5 + -2t) = -4(t + -3) + -4 14 + -7t + (5 * -2 + -2t * -2) = -4(t + -3) + -4 14 + -7t + (-10 + 4t) = -4(t + -3) + -4 Reorder the terms: 14 + -10 + -7t + 4t = -4(t + -3) + -4 Combine like terms: 14 + -10 = 4 4 + -7t + 4t = -4(t + -3) + -4 Combine like terms: -7t + 4t = -3t 4 + -3t = -4(t + -3) + -4 Reorder the terms: 4 + -3t = -4(-3 + t) + -4 4 + -3t = (-3 * -4 + t * -4) + -4 4 + -3t = (12 + -4t) + -4 Reorder the terms: 4 + -3t = 12 + -4 + -4t Combine like terms: 12 + -4 = 8 4 + -3t = 8 + -4t Solving 4 + -3t = 8 + -4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '4t' to each side of the equation. 4 + -3t + 4t = 8 + -4t + 4t Combine like terms: -3t + 4t = 1t 4 + 1t = 8 + -4t + 4t Combine like terms: -4t + 4t = 0 4 + 1t = 8 + 0 4 + 1t = 8 Add '-4' to each side of the equation. 4 + -4 + 1t = 8 + -4 Combine like terms: 4 + -4 = 0 0 + 1t = 8 + -4 1t = 8 + -4 Combine like terms: 8 + -4 = 4 1t = 4 Divide each side by '1'. t = 4 Simplifying t = 4
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