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Simplifying 5 + -1(t + 3) = t + 2(t + -3) Reorder the terms: 5 + -1(3 + t) = t + 2(t + -3) 5 + (3 * -1 + t * -1) = t + 2(t + -3) 5 + (-3 + -1t) = t + 2(t + -3) Combine like terms: 5 + -3 = 2 2 + -1t = t + 2(t + -3) Reorder the terms: 2 + -1t = t + 2(-3 + t) 2 + -1t = t + (-3 * 2 + t * 2) 2 + -1t = t + (-6 + 2t) Reorder the terms: 2 + -1t = -6 + t + 2t Combine like terms: t + 2t = 3t 2 + -1t = -6 + 3t Solving 2 + -1t = -6 + 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. 2 + -1t + -3t = -6 + 3t + -3t Combine like terms: -1t + -3t = -4t 2 + -4t = -6 + 3t + -3t Combine like terms: 3t + -3t = 0 2 + -4t = -6 + 0 2 + -4t = -6 Add '-2' to each side of the equation. 2 + -2 + -4t = -6 + -2 Combine like terms: 2 + -2 = 0 0 + -4t = -6 + -2 -4t = -6 + -2 Combine like terms: -6 + -2 = -8 -4t = -8 Divide each side by '-4'. t = 2 Simplifying t = 2
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