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Simplifying 12(t + -4) = 6t + 6(3t + 3) + -11 Reorder the terms: 12(-4 + t) = 6t + 6(3t + 3) + -11 (-4 * 12 + t * 12) = 6t + 6(3t + 3) + -11 (-48 + 12t) = 6t + 6(3t + 3) + -11 Reorder the terms: -48 + 12t = 6t + 6(3 + 3t) + -11 -48 + 12t = 6t + (3 * 6 + 3t * 6) + -11 -48 + 12t = 6t + (18 + 18t) + -11 Reorder the terms: -48 + 12t = 18 + -11 + 6t + 18t Combine like terms: 18 + -11 = 7 -48 + 12t = 7 + 6t + 18t Combine like terms: 6t + 18t = 24t -48 + 12t = 7 + 24t Solving -48 + 12t = 7 + 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. -48 + 12t + -24t = 7 + 24t + -24t Combine like terms: 12t + -24t = -12t -48 + -12t = 7 + 24t + -24t Combine like terms: 24t + -24t = 0 -48 + -12t = 7 + 0 -48 + -12t = 7 Add '48' to each side of the equation. -48 + 48 + -12t = 7 + 48 Combine like terms: -48 + 48 = 0 0 + -12t = 7 + 48 -12t = 7 + 48 Combine like terms: 7 + 48 = 55 -12t = 55 Divide each side by '-12'. t = -4.583333333 Simplifying t = -4.583333333
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