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Simplifying -2(t + 3) + 2(-5t + -2) = -13(t + 1) + 2 Reorder the terms: -2(3 + t) + 2(-5t + -2) = -13(t + 1) + 2 (3 * -2 + t * -2) + 2(-5t + -2) = -13(t + 1) + 2 (-6 + -2t) + 2(-5t + -2) = -13(t + 1) + 2 Reorder the terms: -6 + -2t + 2(-2 + -5t) = -13(t + 1) + 2 -6 + -2t + (-2 * 2 + -5t * 2) = -13(t + 1) + 2 -6 + -2t + (-4 + -10t) = -13(t + 1) + 2 Reorder the terms: -6 + -4 + -2t + -10t = -13(t + 1) + 2 Combine like terms: -6 + -4 = -10 -10 + -2t + -10t = -13(t + 1) + 2 Combine like terms: -2t + -10t = -12t -10 + -12t = -13(t + 1) + 2 Reorder the terms: -10 + -12t = -13(1 + t) + 2 -10 + -12t = (1 * -13 + t * -13) + 2 -10 + -12t = (-13 + -13t) + 2 Reorder the terms: -10 + -12t = -13 + 2 + -13t Combine like terms: -13 + 2 = -11 -10 + -12t = -11 + -13t Solving -10 + -12t = -11 + -13t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '13t' to each side of the equation. -10 + -12t + 13t = -11 + -13t + 13t Combine like terms: -12t + 13t = 1t -10 + 1t = -11 + -13t + 13t Combine like terms: -13t + 13t = 0 -10 + 1t = -11 + 0 -10 + 1t = -11 Add '10' to each side of the equation. -10 + 10 + 1t = -11 + 10 Combine like terms: -10 + 10 = 0 0 + 1t = -11 + 10 1t = -11 + 10 Combine like terms: -11 + 10 = -1 1t = -1 Divide each side by '1'. t = -1 Simplifying t = -1
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