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Simplifying -6(t + -8) + -5(5t + 1) = -32(t + -1) + -6 Reorder the terms: -6(-8 + t) + -5(5t + 1) = -32(t + -1) + -6 (-8 * -6 + t * -6) + -5(5t + 1) = -32(t + -1) + -6 (48 + -6t) + -5(5t + 1) = -32(t + -1) + -6 Reorder the terms: 48 + -6t + -5(1 + 5t) = -32(t + -1) + -6 48 + -6t + (1 * -5 + 5t * -5) = -32(t + -1) + -6 48 + -6t + (-5 + -25t) = -32(t + -1) + -6 Reorder the terms: 48 + -5 + -6t + -25t = -32(t + -1) + -6 Combine like terms: 48 + -5 = 43 43 + -6t + -25t = -32(t + -1) + -6 Combine like terms: -6t + -25t = -31t 43 + -31t = -32(t + -1) + -6 Reorder the terms: 43 + -31t = -32(-1 + t) + -6 43 + -31t = (-1 * -32 + t * -32) + -6 43 + -31t = (32 + -32t) + -6 Reorder the terms: 43 + -31t = 32 + -6 + -32t Combine like terms: 32 + -6 = 26 43 + -31t = 26 + -32t Solving 43 + -31t = 26 + -32t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '32t' to each side of the equation. 43 + -31t + 32t = 26 + -32t + 32t Combine like terms: -31t + 32t = 1t 43 + 1t = 26 + -32t + 32t Combine like terms: -32t + 32t = 0 43 + 1t = 26 + 0 43 + 1t = 26 Add '-43' to each side of the equation. 43 + -43 + 1t = 26 + -43 Combine like terms: 43 + -43 = 0 0 + 1t = 26 + -43 1t = 26 + -43 Combine like terms: 26 + -43 = -17 1t = -17 Divide each side by '1'. t = -17 Simplifying t = -17
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