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Simplifying -3(t + -1) + -13 = 1(t + 2) Reorder the terms: -3(-1 + t) + -13 = 1(t + 2) (-1 * -3 + t * -3) + -13 = 1(t + 2) (3 + -3t) + -13 = 1(t + 2) Reorder the terms: 3 + -13 + -3t = 1(t + 2) Combine like terms: 3 + -13 = -10 -10 + -3t = 1(t + 2) Reorder the terms: -10 + -3t = 1(2 + t) -10 + -3t = (2 * 1 + t * 1) -10 + -3t = (2 + 1t) Solving -10 + -3t = 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. -10 + -3t + -1t = 2 + 1t + -1t Combine like terms: -3t + -1t = -4t -10 + -4t = 2 + 1t + -1t Combine like terms: 1t + -1t = 0 -10 + -4t = 2 + 0 -10 + -4t = 2 Add '10' to each side of the equation. -10 + 10 + -4t = 2 + 10 Combine like terms: -10 + 10 = 0 0 + -4t = 2 + 10 -4t = 2 + 10 Combine like terms: 2 + 10 = 12 -4t = 12 Divide each side by '-4'. t = -3 Simplifying t = -3
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