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Simplifying 10(t + -6) + 5t = (3t + 3) + -9 Reorder the terms: 10(-6 + t) + 5t = (3t + 3) + -9 (-6 * 10 + t * 10) + 5t = (3t + 3) + -9 (-60 + 10t) + 5t = (3t + 3) + -9 Combine like terms: 10t + 5t = 15t -60 + 15t = (3t + 3) + -9 Reorder the terms: -60 + 15t = (3 + 3t) + -9 Remove parenthesis around (3 + 3t) -60 + 15t = 3 + 3t + -9 Reorder the terms: -60 + 15t = 3 + -9 + 3t Combine like terms: 3 + -9 = -6 -60 + 15t = -6 + 3t Solving -60 + 15t = -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. -60 + 15t + -3t = -6 + 3t + -3t Combine like terms: 15t + -3t = 12t -60 + 12t = -6 + 3t + -3t Combine like terms: 3t + -3t = 0 -60 + 12t = -6 + 0 -60 + 12t = -6 Add '60' to each side of the equation. -60 + 60 + 12t = -6 + 60 Combine like terms: -60 + 60 = 0 0 + 12t = -6 + 60 12t = -6 + 60 Combine like terms: -6 + 60 = 54 12t = 54 Divide each side by '12'. t = 4.5 Simplifying t = 4.5
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