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Simplifying 4(t + -1) = 5(t + 3) Reorder the terms: 4(-1 + t) = 5(t + 3) (-1 * 4 + t * 4) = 5(t + 3) (-4 + 4t) = 5(t + 3) Reorder the terms: -4 + 4t = 5(3 + t) -4 + 4t = (3 * 5 + t * 5) -4 + 4t = (15 + 5t) Solving -4 + 4t = 15 + 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. -4 + 4t + -5t = 15 + 5t + -5t Combine like terms: 4t + -5t = -1t -4 + -1t = 15 + 5t + -5t Combine like terms: 5t + -5t = 0 -4 + -1t = 15 + 0 -4 + -1t = 15 Add '4' to each side of the equation. -4 + 4 + -1t = 15 + 4 Combine like terms: -4 + 4 = 0 0 + -1t = 15 + 4 -1t = 15 + 4 Combine like terms: 15 + 4 = 19 -1t = 19 Divide each side by '-1'. t = -19 Simplifying t = -19
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