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Simplifying 8(t + -6) + 4t = -4(3t + 3) + -8 Reorder the terms: 8(-6 + t) + 4t = -4(3t + 3) + -8 (-6 * 8 + t * 8) + 4t = -4(3t + 3) + -8 (-48 + 8t) + 4t = -4(3t + 3) + -8 Combine like terms: 8t + 4t = 12t -48 + 12t = -4(3t + 3) + -8 Reorder the terms: -48 + 12t = -4(3 + 3t) + -8 -48 + 12t = (3 * -4 + 3t * -4) + -8 -48 + 12t = (-12 + -12t) + -8 Reorder the terms: -48 + 12t = -12 + -8 + -12t Combine like terms: -12 + -8 = -20 -48 + 12t = -20 + -12t Solving -48 + 12t = -20 + -12t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '12t' to each side of the equation. -48 + 12t + 12t = -20 + -12t + 12t Combine like terms: 12t + 12t = 24t -48 + 24t = -20 + -12t + 12t Combine like terms: -12t + 12t = 0 -48 + 24t = -20 + 0 -48 + 24t = -20 Add '48' to each side of the equation. -48 + 48 + 24t = -20 + 48 Combine like terms: -48 + 48 = 0 0 + 24t = -20 + 48 24t = -20 + 48 Combine like terms: -20 + 48 = 28 24t = 28 Divide each side by '24'. t = 1.166666667 Simplifying t = 1.166666667
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