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Simplifying -4(t + -4) + 8t = 7t + -4 Reorder the terms: -4(-4 + t) + 8t = 7t + -4 (-4 * -4 + t * -4) + 8t = 7t + -4 (16 + -4t) + 8t = 7t + -4 Combine like terms: -4t + 8t = 4t 16 + 4t = 7t + -4 Reorder the terms: 16 + 4t = -4 + 7t Solving 16 + 4t = -4 + 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. 16 + 4t + -7t = -4 + 7t + -7t Combine like terms: 4t + -7t = -3t 16 + -3t = -4 + 7t + -7t Combine like terms: 7t + -7t = 0 16 + -3t = -4 + 0 16 + -3t = -4 Add '-16' to each side of the equation. 16 + -16 + -3t = -4 + -16 Combine like terms: 16 + -16 = 0 0 + -3t = -4 + -16 -3t = -4 + -16 Combine like terms: -4 + -16 = -20 -3t = -20 Divide each side by '-3'. t = 6.666666667 Simplifying t = 6.666666667
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