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Simplifying 5 + 3(t + 3) = -1 + 2(t + -3) Reorder the terms: 5 + 3(3 + t) = -1 + 2(t + -3) 5 + (3 * 3 + t * 3) = -1 + 2(t + -3) 5 + (9 + 3t) = -1 + 2(t + -3) Combine like terms: 5 + 9 = 14 14 + 3t = -1 + 2(t + -3) Reorder the terms: 14 + 3t = -1 + 2(-3 + t) 14 + 3t = -1 + (-3 * 2 + t * 2) 14 + 3t = -1 + (-6 + 2t) Combine like terms: -1 + -6 = -7 14 + 3t = -7 + 2t Solving 14 + 3t = -7 + 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. 14 + 3t + -2t = -7 + 2t + -2t Combine like terms: 3t + -2t = 1t 14 + 1t = -7 + 2t + -2t Combine like terms: 2t + -2t = 0 14 + 1t = -7 + 0 14 + 1t = -7 Add '-14' to each side of the equation. 14 + -14 + 1t = -7 + -14 Combine like terms: 14 + -14 = 0 0 + 1t = -7 + -14 1t = -7 + -14 Combine like terms: -7 + -14 = -21 1t = -21 Divide each side by '1'. t = -21 Simplifying t = -21
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