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Simplifying 8(7 + -1t) + 10 = -10(t + -4) + -8 (7 * 8 + -1t * 8) + 10 = -10(t + -4) + -8 (56 + -8t) + 10 = -10(t + -4) + -8 Reorder the terms: 56 + 10 + -8t = -10(t + -4) + -8 Combine like terms: 56 + 10 = 66 66 + -8t = -10(t + -4) + -8 Reorder the terms: 66 + -8t = -10(-4 + t) + -8 66 + -8t = (-4 * -10 + t * -10) + -8 66 + -8t = (40 + -10t) + -8 Reorder the terms: 66 + -8t = 40 + -8 + -10t Combine like terms: 40 + -8 = 32 66 + -8t = 32 + -10t Solving 66 + -8t = 32 + -10t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '10t' to each side of the equation. 66 + -8t + 10t = 32 + -10t + 10t Combine like terms: -8t + 10t = 2t 66 + 2t = 32 + -10t + 10t Combine like terms: -10t + 10t = 0 66 + 2t = 32 + 0 66 + 2t = 32 Add '-66' to each side of the equation. 66 + -66 + 2t = 32 + -66 Combine like terms: 66 + -66 = 0 0 + 2t = 32 + -66 2t = 32 + -66 Combine like terms: 32 + -66 = -34 2t = -34 Divide each side by '2'. t = -17 Simplifying t = -17
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