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Simplifying 5(3 + -1t) + 3 = -3(t + -4) + -9 (3 * 5 + -1t * 5) + 3 = -3(t + -4) + -9 (15 + -5t) + 3 = -3(t + -4) + -9 Reorder the terms: 15 + 3 + -5t = -3(t + -4) + -9 Combine like terms: 15 + 3 = 18 18 + -5t = -3(t + -4) + -9 Reorder the terms: 18 + -5t = -3(-4 + t) + -9 18 + -5t = (-4 * -3 + t * -3) + -9 18 + -5t = (12 + -3t) + -9 Reorder the terms: 18 + -5t = 12 + -9 + -3t Combine like terms: 12 + -9 = 3 18 + -5t = 3 + -3t Solving 18 + -5t = 3 + -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. 18 + -5t + 3t = 3 + -3t + 3t Combine like terms: -5t + 3t = -2t 18 + -2t = 3 + -3t + 3t Combine like terms: -3t + 3t = 0 18 + -2t = 3 + 0 18 + -2t = 3 Add '-18' to each side of the equation. 18 + -18 + -2t = 3 + -18 Combine like terms: 18 + -18 = 0 0 + -2t = 3 + -18 -2t = 3 + -18 Combine like terms: 3 + -18 = -15 -2t = -15 Divide each side by '-2'. t = 7.5 Simplifying t = 7.5
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