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Simplifying 4t + -2 = 5(t + -2) Reorder the terms: -2 + 4t = 5(t + -2) Reorder the terms: -2 + 4t = 5(-2 + t) -2 + 4t = (-2 * 5 + t * 5) -2 + 4t = (-10 + 5t) Solving -2 + 4t = -10 + 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. -2 + 4t + -5t = -10 + 5t + -5t Combine like terms: 4t + -5t = -1t -2 + -1t = -10 + 5t + -5t Combine like terms: 5t + -5t = 0 -2 + -1t = -10 + 0 -2 + -1t = -10 Add '2' to each side of the equation. -2 + 2 + -1t = -10 + 2 Combine like terms: -2 + 2 = 0 0 + -1t = -10 + 2 -1t = -10 + 2 Combine like terms: -10 + 2 = -8 -1t = -8 Divide each side by '-1'. t = 8 Simplifying t = 8
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