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Simplifying -2(t + -4) + 5 = 7t + -2 Reorder the terms: -2(-4 + t) + 5 = 7t + -2 (-4 * -2 + t * -2) + 5 = 7t + -2 (8 + -2t) + 5 = 7t + -2 Reorder the terms: 8 + 5 + -2t = 7t + -2 Combine like terms: 8 + 5 = 13 13 + -2t = 7t + -2 Reorder the terms: 13 + -2t = -2 + 7t Solving 13 + -2t = -2 + 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. 13 + -2t + -7t = -2 + 7t + -7t Combine like terms: -2t + -7t = -9t 13 + -9t = -2 + 7t + -7t Combine like terms: 7t + -7t = 0 13 + -9t = -2 + 0 13 + -9t = -2 Add '-13' to each side of the equation. 13 + -13 + -9t = -2 + -13 Combine like terms: 13 + -13 = 0 0 + -9t = -2 + -13 -9t = -2 + -13 Combine like terms: -2 + -13 = -15 -9t = -15 Divide each side by '-9'. t = 1.666666667 Simplifying t = 1.666666667
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