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Simplifying -2 = 5(t + -4) + -4t Reorder the terms: -2 = 5(-4 + t) + -4t -2 = (-4 * 5 + t * 5) + -4t -2 = (-20 + 5t) + -4t Combine like terms: 5t + -4t = 1t -2 = -20 + 1t Solving -2 = -20 + 1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. -2 + -1t = -20 + 1t + -1t Combine like terms: 1t + -1t = 0 -2 + -1t = -20 + 0 -2 + -1t = -20 Add '2' to each side of the equation. -2 + 2 + -1t = -20 + 2 Combine like terms: -2 + 2 = 0 0 + -1t = -20 + 2 -1t = -20 + 2 Combine like terms: -20 + 2 = -18 -1t = -18 Divide each side by '-1'. t = 18 Simplifying t = 18
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