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Simplifying -3(t + -1) + 6t = 7t + -9 Reorder the terms: -3(-1 + t) + 6t = 7t + -9 (-1 * -3 + t * -3) + 6t = 7t + -9 (3 + -3t) + 6t = 7t + -9 Combine like terms: -3t + 6t = 3t 3 + 3t = 7t + -9 Reorder the terms: 3 + 3t = -9 + 7t Solving 3 + 3t = -9 + 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. 3 + 3t + -7t = -9 + 7t + -7t Combine like terms: 3t + -7t = -4t 3 + -4t = -9 + 7t + -7t Combine like terms: 7t + -7t = 0 3 + -4t = -9 + 0 3 + -4t = -9 Add '-3' to each side of the equation. 3 + -3 + -4t = -9 + -3 Combine like terms: 3 + -3 = 0 0 + -4t = -9 + -3 -4t = -9 + -3 Combine like terms: -9 + -3 = -12 -4t = -12 Divide each side by '-4'. t = 3 Simplifying t = 3
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