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Simplifying 6 + -15(5t + 6) = t + 6 + -1(7 + 8) + 1 + -2 Reorder the terms: 6 + -15(6 + 5t) = t + 6 + -1(7 + 8) + 1 + -2 6 + (6 * -15 + 5t * -15) = t + 6 + -1(7 + 8) + 1 + -2 6 + (-90 + -75t) = t + 6 + -1(7 + 8) + 1 + -2 Combine like terms: 6 + -90 = -84 -84 + -75t = t + 6 + -1(7 + 8) + 1 + -2 Combine like terms: 7 + 8 = 15 -84 + -75t = t + 6 + -1(15) + 1 + -2 Multiply -1 * 15 -84 + -75t = t + 6 + -15 + 1 + -2 Reorder the terms: -84 + -75t = 6 + -15 + 1 + -2 + t Combine like terms: 6 + -15 = -9 -84 + -75t = -9 + 1 + -2 + t Combine like terms: -9 + 1 = -8 -84 + -75t = -8 + -2 + t Combine like terms: -8 + -2 = -10 -84 + -75t = -10 + t Solving -84 + -75t = -10 + t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. -84 + -75t + -1t = -10 + t + -1t Combine like terms: -75t + -1t = -76t -84 + -76t = -10 + t + -1t Combine like terms: t + -1t = 0 -84 + -76t = -10 + 0 -84 + -76t = -10 Add '84' to each side of the equation. -84 + 84 + -76t = -10 + 84 Combine like terms: -84 + 84 = 0 0 + -76t = -10 + 84 -76t = -10 + 84 Combine like terms: -10 + 84 = 74 -76t = 74 Divide each side by '-76'. t = -0.9736842105 Simplifying t = -0.9736842105
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