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Simplifying -9(t + -7) + -1(t + 8) = 8 Reorder the terms: -9(-7 + t) + -1(t + 8) = 8 (-7 * -9 + t * -9) + -1(t + 8) = 8 (63 + -9t) + -1(t + 8) = 8 Reorder the terms: 63 + -9t + -1(8 + t) = 8 63 + -9t + (8 * -1 + t * -1) = 8 63 + -9t + (-8 + -1t) = 8 Reorder the terms: 63 + -8 + -9t + -1t = 8 Combine like terms: 63 + -8 = 55 55 + -9t + -1t = 8 Combine like terms: -9t + -1t = -10t 55 + -10t = 8 Solving 55 + -10t = 8 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-55' to each side of the equation. 55 + -55 + -10t = 8 + -55 Combine like terms: 55 + -55 = 0 0 + -10t = 8 + -55 -10t = 8 + -55 Combine like terms: 8 + -55 = -47 -10t = -47 Divide each side by '-10'. t = 4.7 Simplifying t = 4.7
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