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Simplifying 5(6t + -7) = 32t + 8 Reorder the terms: 5(-7 + 6t) = 32t + 8 (-7 * 5 + 6t * 5) = 32t + 8 (-35 + 30t) = 32t + 8 Reorder the terms: -35 + 30t = 8 + 32t Solving -35 + 30t = 8 + 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. -35 + 30t + -32t = 8 + 32t + -32t Combine like terms: 30t + -32t = -2t -35 + -2t = 8 + 32t + -32t Combine like terms: 32t + -32t = 0 -35 + -2t = 8 + 0 -35 + -2t = 8 Add '35' to each side of the equation. -35 + 35 + -2t = 8 + 35 Combine like terms: -35 + 35 = 0 0 + -2t = 8 + 35 -2t = 8 + 35 Combine like terms: 8 + 35 = 43 -2t = 43 Divide each side by '-2'. t = -21.5 Simplifying t = -21.5
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