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Simplifying 4t + -3 = 5(t + -4) Reorder the terms: -3 + 4t = 5(t + -4) Reorder the terms: -3 + 4t = 5(-4 + t) -3 + 4t = (-4 * 5 + t * 5) -3 + 4t = (-20 + 5t) Solving -3 + 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. -3 + 4t + -5t = -20 + 5t + -5t Combine like terms: 4t + -5t = -1t -3 + -1t = -20 + 5t + -5t Combine like terms: 5t + -5t = 0 -3 + -1t = -20 + 0 -3 + -1t = -20 Add '3' to each side of the equation. -3 + 3 + -1t = -20 + 3 Combine like terms: -3 + 3 = 0 0 + -1t = -20 + 3 -1t = -20 + 3 Combine like terms: -20 + 3 = -17 -1t = -17 Divide each side by '-1'. t = 17 Simplifying t = 17
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