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Simplifying 3 + -2 = 5(t + -2) + -2(t + -4) Combine like terms: 3 + -2 = 1 1 = 5(t + -2) + -2(t + -4) Reorder the terms: 1 = 5(-2 + t) + -2(t + -4) 1 = (-2 * 5 + t * 5) + -2(t + -4) 1 = (-10 + 5t) + -2(t + -4) Reorder the terms: 1 = -10 + 5t + -2(-4 + t) 1 = -10 + 5t + (-4 * -2 + t * -2) 1 = -10 + 5t + (8 + -2t) Reorder the terms: 1 = -10 + 8 + 5t + -2t Combine like terms: -10 + 8 = -2 1 = -2 + 5t + -2t Combine like terms: 5t + -2t = 3t 1 = -2 + 3t Solving 1 = -2 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. 1 + -3t = -2 + 3t + -3t Combine like terms: 3t + -3t = 0 1 + -3t = -2 + 0 1 + -3t = -2 Add '-1' to each side of the equation. 1 + -1 + -3t = -2 + -1 Combine like terms: 1 + -1 = 0 0 + -3t = -2 + -1 -3t = -2 + -1 Combine like terms: -2 + -1 = -3 -3t = -3 Divide each side by '-3'. t = 1 Simplifying t = 1
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