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Simplifying 5(t + -5) = 8(t + 4) Reorder the terms: 5(-5 + t) = 8(t + 4) (-5 * 5 + t * 5) = 8(t + 4) (-25 + 5t) = 8(t + 4) Reorder the terms: -25 + 5t = 8(4 + t) -25 + 5t = (4 * 8 + t * 8) -25 + 5t = (32 + 8t) Solving -25 + 5t = 32 + 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. -25 + 5t + -8t = 32 + 8t + -8t Combine like terms: 5t + -8t = -3t -25 + -3t = 32 + 8t + -8t Combine like terms: 8t + -8t = 0 -25 + -3t = 32 + 0 -25 + -3t = 32 Add '25' to each side of the equation. -25 + 25 + -3t = 32 + 25 Combine like terms: -25 + 25 = 0 0 + -3t = 32 + 25 -3t = 32 + 25 Combine like terms: 32 + 25 = 57 -3t = 57 Divide each side by '-3'. t = -19 Simplifying t = -19
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