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Simplifying 15(t + -4) + 3 = 6(3t + 5) + -12 Reorder the terms: 15(-4 + t) + 3 = 6(3t + 5) + -12 (-4 * 15 + t * 15) + 3 = 6(3t + 5) + -12 (-60 + 15t) + 3 = 6(3t + 5) + -12 Reorder the terms: -60 + 3 + 15t = 6(3t + 5) + -12 Combine like terms: -60 + 3 = -57 -57 + 15t = 6(3t + 5) + -12 Reorder the terms: -57 + 15t = 6(5 + 3t) + -12 -57 + 15t = (5 * 6 + 3t * 6) + -12 -57 + 15t = (30 + 18t) + -12 Reorder the terms: -57 + 15t = 30 + -12 + 18t Combine like terms: 30 + -12 = 18 -57 + 15t = 18 + 18t Solving -57 + 15t = 18 + 18t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-18t' to each side of the equation. -57 + 15t + -18t = 18 + 18t + -18t Combine like terms: 15t + -18t = -3t -57 + -3t = 18 + 18t + -18t Combine like terms: 18t + -18t = 0 -57 + -3t = 18 + 0 -57 + -3t = 18 Add '57' to each side of the equation. -57 + 57 + -3t = 18 + 57 Combine like terms: -57 + 57 = 0 0 + -3t = 18 + 57 -3t = 18 + 57 Combine like terms: 18 + 57 = 75 -3t = 75 Divide each side by '-3'. t = -25 Simplifying t = -25
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