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Simplifying 8(t + -9) = -2(7 + -1) Reorder the terms: 8(-9 + t) = -2(7 + -1) (-9 * 8 + t * 8) = -2(7 + -1) (-72 + 8t) = -2(7 + -1) Combine like terms: 7 + -1 = 6 -72 + 8t = -2(6) Multiply -2 * 6 -72 + 8t = -12 Solving -72 + 8t = -12 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '72' to each side of the equation. -72 + 72 + 8t = -12 + 72 Combine like terms: -72 + 72 = 0 0 + 8t = -12 + 72 8t = -12 + 72 Combine like terms: -12 + 72 = 60 8t = 60 Divide each side by '8'. t = 7.5 Simplifying t = 7.5
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