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Simplifying 8(t + -4) + 7 = 5(3t + 5) + -10 Reorder the terms: 8(-4 + t) + 7 = 5(3t + 5) + -10 (-4 * 8 + t * 8) + 7 = 5(3t + 5) + -10 (-32 + 8t) + 7 = 5(3t + 5) + -10 Reorder the terms: -32 + 7 + 8t = 5(3t + 5) + -10 Combine like terms: -32 + 7 = -25 -25 + 8t = 5(3t + 5) + -10 Reorder the terms: -25 + 8t = 5(5 + 3t) + -10 -25 + 8t = (5 * 5 + 3t * 5) + -10 -25 + 8t = (25 + 15t) + -10 Reorder the terms: -25 + 8t = 25 + -10 + 15t Combine like terms: 25 + -10 = 15 -25 + 8t = 15 + 15t Solving -25 + 8t = 15 + 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. -25 + 8t + -15t = 15 + 15t + -15t Combine like terms: 8t + -15t = -7t -25 + -7t = 15 + 15t + -15t Combine like terms: 15t + -15t = 0 -25 + -7t = 15 + 0 -25 + -7t = 15 Add '25' to each side of the equation. -25 + 25 + -7t = 15 + 25 Combine like terms: -25 + 25 = 0 0 + -7t = 15 + 25 -7t = 15 + 25 Combine like terms: 15 + 25 = 40 -7t = 40 Divide each side by '-7'. t = -5.714285714 Simplifying t = -5.714285714
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