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Simplifying -1(t + 5) + -4 = -2(t + -6) Reorder the terms: -1(5 + t) + -4 = -2(t + -6) (5 * -1 + t * -1) + -4 = -2(t + -6) (-5 + -1t) + -4 = -2(t + -6) Reorder the terms: -5 + -4 + -1t = -2(t + -6) Combine like terms: -5 + -4 = -9 -9 + -1t = -2(t + -6) Reorder the terms: -9 + -1t = -2(-6 + t) -9 + -1t = (-6 * -2 + t * -2) -9 + -1t = (12 + -2t) Solving -9 + -1t = 12 + -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. -9 + -1t + 2t = 12 + -2t + 2t Combine like terms: -1t + 2t = 1t -9 + 1t = 12 + -2t + 2t Combine like terms: -2t + 2t = 0 -9 + 1t = 12 + 0 -9 + 1t = 12 Add '9' to each side of the equation. -9 + 9 + 1t = 12 + 9 Combine like terms: -9 + 9 = 0 0 + 1t = 12 + 9 1t = 12 + 9 Combine like terms: 12 + 9 = 21 1t = 21 Divide each side by '1'. t = 21 Simplifying t = 21
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