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Simplifying 2(4 + -2) = -7 + 5 + 3(5t + -3) Combine like terms: 4 + -2 = 2 2(2) = -7 + 5 + 3(5t + -3) Multiply 2 * 2 4 = -7 + 5 + 3(5t + -3) Reorder the terms: 4 = -7 + 5 + 3(-3 + 5t) 4 = -7 + 5 + (-3 * 3 + 5t * 3) 4 = -7 + 5 + (-9 + 15t) Combine like terms: -7 + 5 = -2 4 = -2 + -9 + 15t Combine like terms: -2 + -9 = -11 4 = -11 + 15t Solving 4 = -11 + 15t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-15t' to each side of the equation. 4 + -15t = -11 + 15t + -15t Combine like terms: 15t + -15t = 0 4 + -15t = -11 + 0 4 + -15t = -11 Add '-4' to each side of the equation. 4 + -4 + -15t = -11 + -4 Combine like terms: 4 + -4 = 0 0 + -15t = -11 + -4 -15t = -11 + -4 Combine like terms: -11 + -4 = -15 -15t = -15 Divide each side by '-15'. t = 1 Simplifying t = 1
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