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Simplifying 4(5t + -7) = 10t + -2 Reorder the terms: 4(-7 + 5t) = 10t + -2 (-7 * 4 + 5t * 4) = 10t + -2 (-28 + 20t) = 10t + -2 Reorder the terms: -28 + 20t = -2 + 10t Solving -28 + 20t = -2 + 10t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-10t' to each side of the equation. -28 + 20t + -10t = -2 + 10t + -10t Combine like terms: 20t + -10t = 10t -28 + 10t = -2 + 10t + -10t Combine like terms: 10t + -10t = 0 -28 + 10t = -2 + 0 -28 + 10t = -2 Add '28' to each side of the equation. -28 + 28 + 10t = -2 + 28 Combine like terms: -28 + 28 = 0 0 + 10t = -2 + 28 10t = -2 + 28 Combine like terms: -2 + 28 = 26 10t = 26 Divide each side by '10'. t = 2.6 Simplifying t = 2.6
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