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Simplifying 10(6 + -1t) + 2 = -2(t + -3) + -7 (6 * 10 + -1t * 10) + 2 = -2(t + -3) + -7 (60 + -10t) + 2 = -2(t + -3) + -7 Reorder the terms: 60 + 2 + -10t = -2(t + -3) + -7 Combine like terms: 60 + 2 = 62 62 + -10t = -2(t + -3) + -7 Reorder the terms: 62 + -10t = -2(-3 + t) + -7 62 + -10t = (-3 * -2 + t * -2) + -7 62 + -10t = (6 + -2t) + -7 Reorder the terms: 62 + -10t = 6 + -7 + -2t Combine like terms: 6 + -7 = -1 62 + -10t = -1 + -2t Solving 62 + -10t = -1 + -2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2t' to each side of the equation. 62 + -10t + 2t = -1 + -2t + 2t Combine like terms: -10t + 2t = -8t 62 + -8t = -1 + -2t + 2t Combine like terms: -2t + 2t = 0 62 + -8t = -1 + 0 62 + -8t = -1 Add '-62' to each side of the equation. 62 + -62 + -8t = -1 + -62 Combine like terms: 62 + -62 = 0 0 + -8t = -1 + -62 -8t = -1 + -62 Combine like terms: -1 + -62 = -63 -8t = -63 Divide each side by '-8'. t = 7.875 Simplifying t = 7.875
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