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Simplifying 5 + 3(t + -4) = 2(t + 1) Reorder the terms: 5 + 3(-4 + t) = 2(t + 1) 5 + (-4 * 3 + t * 3) = 2(t + 1) 5 + (-12 + 3t) = 2(t + 1) Combine like terms: 5 + -12 = -7 -7 + 3t = 2(t + 1) Reorder the terms: -7 + 3t = 2(1 + t) -7 + 3t = (1 * 2 + t * 2) -7 + 3t = (2 + 2t) Solving -7 + 3t = 2 + 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. -7 + 3t + -2t = 2 + 2t + -2t Combine like terms: 3t + -2t = 1t -7 + 1t = 2 + 2t + -2t Combine like terms: 2t + -2t = 0 -7 + 1t = 2 + 0 -7 + 1t = 2 Add '7' to each side of the equation. -7 + 7 + 1t = 2 + 7 Combine like terms: -7 + 7 = 0 0 + 1t = 2 + 7 1t = 2 + 7 Combine like terms: 2 + 7 = 9 1t = 9 Divide each side by '1'. t = 9 Simplifying t = 9
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