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Simplifying -4(t + -1) + 8 = 7t + -7 Reorder the terms: -4(-1 + t) + 8 = 7t + -7 (-1 * -4 + t * -4) + 8 = 7t + -7 (4 + -4t) + 8 = 7t + -7 Reorder the terms: 4 + 8 + -4t = 7t + -7 Combine like terms: 4 + 8 = 12 12 + -4t = 7t + -7 Reorder the terms: 12 + -4t = -7 + 7t Solving 12 + -4t = -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. 12 + -4t + -7t = -7 + 7t + -7t Combine like terms: -4t + -7t = -11t 12 + -11t = -7 + 7t + -7t Combine like terms: 7t + -7t = 0 12 + -11t = -7 + 0 12 + -11t = -7 Add '-12' to each side of the equation. 12 + -12 + -11t = -7 + -12 Combine like terms: 12 + -12 = 0 0 + -11t = -7 + -12 -11t = -7 + -12 Combine like terms: -7 + -12 = -19 -11t = -19 Divide each side by '-11'. t = 1.727272727 Simplifying t = 1.727272727
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