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Simplifying -2(t + -3) + -10 = 1(t + 2) Reorder the terms: -2(-3 + t) + -10 = 1(t + 2) (-3 * -2 + t * -2) + -10 = 1(t + 2) (6 + -2t) + -10 = 1(t + 2) Reorder the terms: 6 + -10 + -2t = 1(t + 2) Combine like terms: 6 + -10 = -4 -4 + -2t = 1(t + 2) Reorder the terms: -4 + -2t = 1(2 + t) -4 + -2t = (2 * 1 + t * 1) -4 + -2t = (2 + 1t) Solving -4 + -2t = 2 + 1t 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. -4 + -2t + -1t = 2 + 1t + -1t Combine like terms: -2t + -1t = -3t -4 + -3t = 2 + 1t + -1t Combine like terms: 1t + -1t = 0 -4 + -3t = 2 + 0 -4 + -3t = 2 Add '4' to each side of the equation. -4 + 4 + -3t = 2 + 4 Combine like terms: -4 + 4 = 0 0 + -3t = 2 + 4 -3t = 2 + 4 Combine like terms: 2 + 4 = 6 -3t = 6 Divide each side by '-3'. t = -2 Simplifying t = -2
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