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Simplifying 8(t + -9) = -2(7t + -1) Reorder the terms: 8(-9 + t) = -2(7t + -1) (-9 * 8 + t * 8) = -2(7t + -1) (-72 + 8t) = -2(7t + -1) Reorder the terms: -72 + 8t = -2(-1 + 7t) -72 + 8t = (-1 * -2 + 7t * -2) -72 + 8t = (2 + -14t) Solving -72 + 8t = 2 + -14t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '14t' to each side of the equation. -72 + 8t + 14t = 2 + -14t + 14t Combine like terms: 8t + 14t = 22t -72 + 22t = 2 + -14t + 14t Combine like terms: -14t + 14t = 0 -72 + 22t = 2 + 0 -72 + 22t = 2 Add '72' to each side of the equation. -72 + 72 + 22t = 2 + 72 Combine like terms: -72 + 72 = 0 0 + 22t = 2 + 72 22t = 2 + 72 Combine like terms: 2 + 72 = 74 22t = 74 Divide each side by '22'. t = 3.363636364 Simplifying t = 3.363636364
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