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Simplifying 6t + 3(5y + -4) = 12(2t + -5) Reorder the terms: 6t + 3(-4 + 5y) = 12(2t + -5) 6t + (-4 * 3 + 5y * 3) = 12(2t + -5) 6t + (-12 + 15y) = 12(2t + -5) Reorder the terms: -12 + 6t + 15y = 12(2t + -5) Reorder the terms: -12 + 6t + 15y = 12(-5 + 2t) -12 + 6t + 15y = (-5 * 12 + 2t * 12) -12 + 6t + 15y = (-60 + 24t) Solving -12 + 6t + 15y = -60 + 24t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-24t' to each side of the equation. -12 + 6t + -24t + 15y = -60 + 24t + -24t Combine like terms: 6t + -24t = -18t -12 + -18t + 15y = -60 + 24t + -24t Combine like terms: 24t + -24t = 0 -12 + -18t + 15y = -60 + 0 -12 + -18t + 15y = -60 Add '12' to each side of the equation. -12 + -18t + 12 + 15y = -60 + 12 Reorder the terms: -12 + 12 + -18t + 15y = -60 + 12 Combine like terms: -12 + 12 = 0 0 + -18t + 15y = -60 + 12 -18t + 15y = -60 + 12 Combine like terms: -60 + 12 = -48 -18t + 15y = -48 Add '-15y' to each side of the equation. -18t + 15y + -15y = -48 + -15y Combine like terms: 15y + -15y = 0 -18t + 0 = -48 + -15y -18t = -48 + -15y Divide each side by '-18'. t = 2.666666667 + 0.8333333333y Simplifying t = 2.666666667 + 0.8333333333y
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