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Simplifying 8(t + -4 + 7t) = 5(3t + 3) + -8 Reorder the terms: 8(-4 + t + 7t) = 5(3t + 3) + -8 Combine like terms: t + 7t = 8t 8(-4 + 8t) = 5(3t + 3) + -8 (-4 * 8 + 8t * 8) = 5(3t + 3) + -8 (-32 + 64t) = 5(3t + 3) + -8 Reorder the terms: -32 + 64t = 5(3 + 3t) + -8 -32 + 64t = (3 * 5 + 3t * 5) + -8 -32 + 64t = (15 + 15t) + -8 Reorder the terms: -32 + 64t = 15 + -8 + 15t Combine like terms: 15 + -8 = 7 -32 + 64t = 7 + 15t Solving -32 + 64t = 7 + 15t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-15t' to each side of the equation. -32 + 64t + -15t = 7 + 15t + -15t Combine like terms: 64t + -15t = 49t -32 + 49t = 7 + 15t + -15t Combine like terms: 15t + -15t = 0 -32 + 49t = 7 + 0 -32 + 49t = 7 Add '32' to each side of the equation. -32 + 32 + 49t = 7 + 32 Combine like terms: -32 + 32 = 0 0 + 49t = 7 + 32 49t = 7 + 32 Combine like terms: 7 + 32 = 39 49t = 39 Divide each side by '49'. t = 0.7959183673 Simplifying t = 0.7959183673
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