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Simplifying 5(-1t + 3) + -10 = 5t + -12 Reorder the terms: 5(3 + -1t) + -10 = 5t + -12 (3 * 5 + -1t * 5) + -10 = 5t + -12 (15 + -5t) + -10 = 5t + -12 Reorder the terms: 15 + -10 + -5t = 5t + -12 Combine like terms: 15 + -10 = 5 5 + -5t = 5t + -12 Reorder the terms: 5 + -5t = -12 + 5t Solving 5 + -5t = -12 + 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. 5 + -5t + -5t = -12 + 5t + -5t Combine like terms: -5t + -5t = -10t 5 + -10t = -12 + 5t + -5t Combine like terms: 5t + -5t = 0 5 + -10t = -12 + 0 5 + -10t = -12 Add '-5' to each side of the equation. 5 + -5 + -10t = -12 + -5 Combine like terms: 5 + -5 = 0 0 + -10t = -12 + -5 -10t = -12 + -5 Combine like terms: -12 + -5 = -17 -10t = -17 Divide each side by '-10'. t = 1.7 Simplifying t = 1.7
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