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Simplifying 4t + -8 = 5(t + -4) Reorder the terms: -8 + 4t = 5(t + -4) Reorder the terms: -8 + 4t = 5(-4 + t) -8 + 4t = (-4 * 5 + t * 5) -8 + 4t = (-20 + 5t) Solving -8 + 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. -8 + 4t + -5t = -20 + 5t + -5t Combine like terms: 4t + -5t = -1t -8 + -1t = -20 + 5t + -5t Combine like terms: 5t + -5t = 0 -8 + -1t = -20 + 0 -8 + -1t = -20 Add '8' to each side of the equation. -8 + 8 + -1t = -20 + 8 Combine like terms: -8 + 8 = 0 0 + -1t = -20 + 8 -1t = -20 + 8 Combine like terms: -20 + 8 = -12 -1t = -12 Divide each side by '-1'. t = 12 Simplifying t = 12
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