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Simplifying 10(7 + -1t) + 7 = -7(t + -3) + -11 (7 * 10 + -1t * 10) + 7 = -7(t + -3) + -11 (70 + -10t) + 7 = -7(t + -3) + -11 Reorder the terms: 70 + 7 + -10t = -7(t + -3) + -11 Combine like terms: 70 + 7 = 77 77 + -10t = -7(t + -3) + -11 Reorder the terms: 77 + -10t = -7(-3 + t) + -11 77 + -10t = (-3 * -7 + t * -7) + -11 77 + -10t = (21 + -7t) + -11 Reorder the terms: 77 + -10t = 21 + -11 + -7t Combine like terms: 21 + -11 = 10 77 + -10t = 10 + -7t Solving 77 + -10t = 10 + -7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '7t' to each side of the equation. 77 + -10t + 7t = 10 + -7t + 7t Combine like terms: -10t + 7t = -3t 77 + -3t = 10 + -7t + 7t Combine like terms: -7t + 7t = 0 77 + -3t = 10 + 0 77 + -3t = 10 Add '-77' to each side of the equation. 77 + -77 + -3t = 10 + -77 Combine like terms: 77 + -77 = 0 0 + -3t = 10 + -77 -3t = 10 + -77 Combine like terms: 10 + -77 = -67 -3t = -67 Divide each side by '-3'. t = 22.33333333 Simplifying t = 22.33333333
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