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Simplifying -4(t + -4) + 9t = 8t + -7 Reorder the terms: -4(-4 + t) + 9t = 8t + -7 (-4 * -4 + t * -4) + 9t = 8t + -7 (16 + -4t) + 9t = 8t + -7 Combine like terms: -4t + 9t = 5t 16 + 5t = 8t + -7 Reorder the terms: 16 + 5t = -7 + 8t Solving 16 + 5t = -7 + 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. 16 + 5t + -8t = -7 + 8t + -8t Combine like terms: 5t + -8t = -3t 16 + -3t = -7 + 8t + -8t Combine like terms: 8t + -8t = 0 16 + -3t = -7 + 0 16 + -3t = -7 Add '-16' to each side of the equation. 16 + -16 + -3t = -7 + -16 Combine like terms: 16 + -16 = 0 0 + -3t = -7 + -16 -3t = -7 + -16 Combine like terms: -7 + -16 = -23 -3t = -23 Divide each side by '-3'. t = 7.666666667 Simplifying t = 7.666666667
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