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Simplifying -4(t + -2) + 8t = 7t + -6 Reorder the terms: -4(-2 + t) + 8t = 7t + -6 (-2 * -4 + t * -4) + 8t = 7t + -6 (8 + -4t) + 8t = 7t + -6 Combine like terms: -4t + 8t = 4t 8 + 4t = 7t + -6 Reorder the terms: 8 + 4t = -6 + 7t Solving 8 + 4t = -6 + 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. 8 + 4t + -7t = -6 + 7t + -7t Combine like terms: 4t + -7t = -3t 8 + -3t = -6 + 7t + -7t Combine like terms: 7t + -7t = 0 8 + -3t = -6 + 0 8 + -3t = -6 Add '-8' to each side of the equation. 8 + -8 + -3t = -6 + -8 Combine like terms: 8 + -8 = 0 0 + -3t = -6 + -8 -3t = -6 + -8 Combine like terms: -6 + -8 = -14 -3t = -14 Divide each side by '-3'. t = 4.666666667 Simplifying t = 4.666666667
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