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Simplifying 4(t + 5) = 5(t + -7) Reorder the terms: 4(5 + t) = 5(t + -7) (5 * 4 + t * 4) = 5(t + -7) (20 + 4t) = 5(t + -7) Reorder the terms: 20 + 4t = 5(-7 + t) 20 + 4t = (-7 * 5 + t * 5) 20 + 4t = (-35 + 5t) Solving 20 + 4t = -35 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. 20 + 4t + -5t = -35 + 5t + -5t Combine like terms: 4t + -5t = -1t 20 + -1t = -35 + 5t + -5t Combine like terms: 5t + -5t = 0 20 + -1t = -35 + 0 20 + -1t = -35 Add '-20' to each side of the equation. 20 + -20 + -1t = -35 + -20 Combine like terms: 20 + -20 = 0 0 + -1t = -35 + -20 -1t = -35 + -20 Combine like terms: -35 + -20 = -55 -1t = -55 Divide each side by '-1'. t = 55 Simplifying t = 55
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