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Simplifying 6(7 + -8t) = -8(7t + -5) (7 * 6 + -8t * 6) = -8(7t + -5) (42 + -48t) = -8(7t + -5) Reorder the terms: 42 + -48t = -8(-5 + 7t) 42 + -48t = (-5 * -8 + 7t * -8) 42 + -48t = (40 + -56t) Solving 42 + -48t = 40 + -56t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '56t' to each side of the equation. 42 + -48t + 56t = 40 + -56t + 56t Combine like terms: -48t + 56t = 8t 42 + 8t = 40 + -56t + 56t Combine like terms: -56t + 56t = 0 42 + 8t = 40 + 0 42 + 8t = 40 Add '-42' to each side of the equation. 42 + -42 + 8t = 40 + -42 Combine like terms: 42 + -42 = 0 0 + 8t = 40 + -42 8t = 40 + -42 Combine like terms: 40 + -42 = -2 8t = -2 Divide each side by '8'. t = -0.25 Simplifying t = -0.25
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