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Simplifying 4(-2t + 10) = 3t + 6 Reorder the terms: 4(10 + -2t) = 3t + 6 (10 * 4 + -2t * 4) = 3t + 6 (40 + -8t) = 3t + 6 Reorder the terms: 40 + -8t = 6 + 3t Solving 40 + -8t = 6 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. 40 + -8t + -3t = 6 + 3t + -3t Combine like terms: -8t + -3t = -11t 40 + -11t = 6 + 3t + -3t Combine like terms: 3t + -3t = 0 40 + -11t = 6 + 0 40 + -11t = 6 Add '-40' to each side of the equation. 40 + -40 + -11t = 6 + -40 Combine like terms: 40 + -40 = 0 0 + -11t = 6 + -40 -11t = 6 + -40 Combine like terms: 6 + -40 = -34 -11t = -34 Divide each side by '-11'. t = 3.090909091 Simplifying t = 3.090909091
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