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Simplifying 10(t + -2) + 5 = 5(3t + 2) + -9 Reorder the terms: 10(-2 + t) + 5 = 5(3t + 2) + -9 (-2 * 10 + t * 10) + 5 = 5(3t + 2) + -9 (-20 + 10t) + 5 = 5(3t + 2) + -9 Reorder the terms: -20 + 5 + 10t = 5(3t + 2) + -9 Combine like terms: -20 + 5 = -15 -15 + 10t = 5(3t + 2) + -9 Reorder the terms: -15 + 10t = 5(2 + 3t) + -9 -15 + 10t = (2 * 5 + 3t * 5) + -9 -15 + 10t = (10 + 15t) + -9 Reorder the terms: -15 + 10t = 10 + -9 + 15t Combine like terms: 10 + -9 = 1 -15 + 10t = 1 + 15t Solving -15 + 10t = 1 + 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. -15 + 10t + -15t = 1 + 15t + -15t Combine like terms: 10t + -15t = -5t -15 + -5t = 1 + 15t + -15t Combine like terms: 15t + -15t = 0 -15 + -5t = 1 + 0 -15 + -5t = 1 Add '15' to each side of the equation. -15 + 15 + -5t = 1 + 15 Combine like terms: -15 + 15 = 0 0 + -5t = 1 + 15 -5t = 1 + 15 Combine like terms: 1 + 15 = 16 -5t = 16 Divide each side by '-5'. t = -3.2 Simplifying t = -3.2
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