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Simplifying -3(4 + -1t) = 5(t + 1) (4 * -3 + -1t * -3) = 5(t + 1) (-12 + 3t) = 5(t + 1) Reorder the terms: -12 + 3t = 5(1 + t) -12 + 3t = (1 * 5 + t * 5) -12 + 3t = (5 + 5t) Solving -12 + 3t = 5 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. -12 + 3t + -5t = 5 + 5t + -5t Combine like terms: 3t + -5t = -2t -12 + -2t = 5 + 5t + -5t Combine like terms: 5t + -5t = 0 -12 + -2t = 5 + 0 -12 + -2t = 5 Add '12' to each side of the equation. -12 + 12 + -2t = 5 + 12 Combine like terms: -12 + 12 = 0 0 + -2t = 5 + 12 -2t = 5 + 12 Combine like terms: 5 + 12 = 17 -2t = 17 Divide each side by '-2'. t = -8.5 Simplifying t = -8.5
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