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Simplifying 10(t + -3) + 5t = (3t + 3) + -10 Reorder the terms: 10(-3 + t) + 5t = (3t + 3) + -10 (-3 * 10 + t * 10) + 5t = (3t + 3) + -10 (-30 + 10t) + 5t = (3t + 3) + -10 Combine like terms: 10t + 5t = 15t -30 + 15t = (3t + 3) + -10 Reorder the terms: -30 + 15t = (3 + 3t) + -10 Remove parenthesis around (3 + 3t) -30 + 15t = 3 + 3t + -10 Reorder the terms: -30 + 15t = 3 + -10 + 3t Combine like terms: 3 + -10 = -7 -30 + 15t = -7 + 3t Solving -30 + 15t = -7 + 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. -30 + 15t + -3t = -7 + 3t + -3t Combine like terms: 15t + -3t = 12t -30 + 12t = -7 + 3t + -3t Combine like terms: 3t + -3t = 0 -30 + 12t = -7 + 0 -30 + 12t = -7 Add '30' to each side of the equation. -30 + 30 + 12t = -7 + 30 Combine like terms: -30 + 30 = 0 0 + 12t = -7 + 30 12t = -7 + 30 Combine like terms: -7 + 30 = 23 12t = 23 Divide each side by '12'. t = 1.916666667 Simplifying t = 1.916666667
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