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Simplifying -2(5t + -3) + 8t = 7t + -7 Reorder the terms: -2(-3 + 5t) + 8t = 7t + -7 (-3 * -2 + 5t * -2) + 8t = 7t + -7 (6 + -10t) + 8t = 7t + -7 Combine like terms: -10t + 8t = -2t 6 + -2t = 7t + -7 Reorder the terms: 6 + -2t = -7 + 7t Solving 6 + -2t = -7 + 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. 6 + -2t + -7t = -7 + 7t + -7t Combine like terms: -2t + -7t = -9t 6 + -9t = -7 + 7t + -7t Combine like terms: 7t + -7t = 0 6 + -9t = -7 + 0 6 + -9t = -7 Add '-6' to each side of the equation. 6 + -6 + -9t = -7 + -6 Combine like terms: 6 + -6 = 0 0 + -9t = -7 + -6 -9t = -7 + -6 Combine like terms: -7 + -6 = -13 -9t = -13 Divide each side by '-9'. t = 1.444444444 Simplifying t = 1.444444444
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