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Simplifying -2(t + -4) + 8t = 9t + -7 Reorder the terms: -2(-4 + t) + 8t = 9t + -7 (-4 * -2 + t * -2) + 8t = 9t + -7 (8 + -2t) + 8t = 9t + -7 Combine like terms: -2t + 8t = 6t 8 + 6t = 9t + -7 Reorder the terms: 8 + 6t = -7 + 9t Solving 8 + 6t = -7 + 9t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-9t' to each side of the equation. 8 + 6t + -9t = -7 + 9t + -9t Combine like terms: 6t + -9t = -3t 8 + -3t = -7 + 9t + -9t Combine like terms: 9t + -9t = 0 8 + -3t = -7 + 0 8 + -3t = -7 Add '-8' to each side of the equation. 8 + -8 + -3t = -7 + -8 Combine like terms: 8 + -8 = 0 0 + -3t = -7 + -8 -3t = -7 + -8 Combine like terms: -7 + -8 = -15 -3t = -15 Divide each side by '-3'. t = 5 Simplifying t = 5
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