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Simplifying 20 + 4t = 5(t + -4) Reorder the terms: 20 + 4t = 5(-4 + t) 20 + 4t = (-4 * 5 + t * 5) 20 + 4t = (-20 + 5t) Solving 20 + 4t = -20 + 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 = -20 + 5t + -5t Combine like terms: 4t + -5t = -1t 20 + -1t = -20 + 5t + -5t Combine like terms: 5t + -5t = 0 20 + -1t = -20 + 0 20 + -1t = -20 Add '-20' to each side of the equation. 20 + -20 + -1t = -20 + -20 Combine like terms: 20 + -20 = 0 0 + -1t = -20 + -20 -1t = -20 + -20 Combine like terms: -20 + -20 = -40 -1t = -40 Divide each side by '-1'. t = 40 Simplifying t = 40
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