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Simplifying 5(1 + -1t) = -4(3 + -1t) + -1 (1 * 5 + -1t * 5) = -4(3 + -1t) + -1 (5 + -5t) = -4(3 + -1t) + -1 5 + -5t = (3 * -4 + -1t * -4) + -1 5 + -5t = (-12 + 4t) + -1 Reorder the terms: 5 + -5t = -12 + -1 + 4t Combine like terms: -12 + -1 = -13 5 + -5t = -13 + 4t Solving 5 + -5t = -13 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 5 + -5t + -4t = -13 + 4t + -4t Combine like terms: -5t + -4t = -9t 5 + -9t = -13 + 4t + -4t Combine like terms: 4t + -4t = 0 5 + -9t = -13 + 0 5 + -9t = -13 Add '-5' to each side of the equation. 5 + -5 + -9t = -13 + -5 Combine like terms: 5 + -5 = 0 0 + -9t = -13 + -5 -9t = -13 + -5 Combine like terms: -13 + -5 = -18 -9t = -18 Divide each side by '-9'. t = 2 Simplifying t = 2
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