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Simplifying 5 + 5(t + -4) = 2(t + 9) + 6 Reorder the terms: 5 + 5(-4 + t) = 2(t + 9) + 6 5 + (-4 * 5 + t * 5) = 2(t + 9) + 6 5 + (-20 + 5t) = 2(t + 9) + 6 Combine like terms: 5 + -20 = -15 -15 + 5t = 2(t + 9) + 6 Reorder the terms: -15 + 5t = 2(9 + t) + 6 -15 + 5t = (9 * 2 + t * 2) + 6 -15 + 5t = (18 + 2t) + 6 Reorder the terms: -15 + 5t = 18 + 6 + 2t Combine like terms: 18 + 6 = 24 -15 + 5t = 24 + 2t Solving -15 + 5t = 24 + 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. -15 + 5t + -2t = 24 + 2t + -2t Combine like terms: 5t + -2t = 3t -15 + 3t = 24 + 2t + -2t Combine like terms: 2t + -2t = 0 -15 + 3t = 24 + 0 -15 + 3t = 24 Add '15' to each side of the equation. -15 + 15 + 3t = 24 + 15 Combine like terms: -15 + 15 = 0 0 + 3t = 24 + 15 3t = 24 + 15 Combine like terms: 24 + 15 = 39 3t = 39 Divide each side by '3'. t = 13 Simplifying t = 13
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