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Simplifying 5(3 + -4t) + -12 + 10t = 0 (3 * 5 + -4t * 5) + -12 + 10t = 0 (15 + -20t) + -12 + 10t = 0 Reorder the terms: 15 + -12 + -20t + 10t = 0 Combine like terms: 15 + -12 = 3 3 + -20t + 10t = 0 Combine like terms: -20t + 10t = -10t 3 + -10t = 0 Solving 3 + -10t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -10t = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -10t = 0 + -3 -10t = 0 + -3 Combine like terms: 0 + -3 = -3 -10t = -3 Divide each side by '-10'. t = 0.3 Simplifying t = 0.3
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