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Simplifying 5(t + -2) = 4t + -1 Reorder the terms: 5(-2 + t) = 4t + -1 (-2 * 5 + t * 5) = 4t + -1 (-10 + 5t) = 4t + -1 Reorder the terms: -10 + 5t = -1 + 4t Solving -10 + 5t = -1 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. -10 + 5t + -4t = -1 + 4t + -4t Combine like terms: 5t + -4t = 1t -10 + 1t = -1 + 4t + -4t Combine like terms: 4t + -4t = 0 -10 + 1t = -1 + 0 -10 + 1t = -1 Add '10' to each side of the equation. -10 + 10 + 1t = -1 + 10 Combine like terms: -10 + 10 = 0 0 + 1t = -1 + 10 1t = -1 + 10 Combine like terms: -1 + 10 = 9 1t = 9 Divide each side by '1'. t = 9 Simplifying t = 9
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