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