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Simplifying 3(t + -8) + -3(4t + -3) = -10(t + 3) + -3 Reorder the terms: 3(-8 + t) + -3(4t + -3) = -10(t + 3) + -3 (-8 * 3 + t * 3) + -3(4t + -3) = -10(t + 3) + -3 (-24 + 3t) + -3(4t + -3) = -10(t + 3) + -3 Reorder the terms: -24 + 3t + -3(-3 + 4t) = -10(t + 3) + -3 -24 + 3t + (-3 * -3 + 4t * -3) = -10(t + 3) + -3 -24 + 3t + (9 + -12t) = -10(t + 3) + -3 Reorder the terms: -24 + 9 + 3t + -12t = -10(t + 3) + -3 Combine like terms: -24 + 9 = -15 -15 + 3t + -12t = -10(t + 3) + -3 Combine like terms: 3t + -12t = -9t -15 + -9t = -10(t + 3) + -3 Reorder the terms: -15 + -9t = -10(3 + t) + -3 -15 + -9t = (3 * -10 + t * -10) + -3 -15 + -9t = (-30 + -10t) + -3 Reorder the terms: -15 + -9t = -30 + -3 + -10t Combine like terms: -30 + -3 = -33 -15 + -9t = -33 + -10t Solving -15 + -9t = -33 + -10t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '10t' to each side of the equation. -15 + -9t + 10t = -33 + -10t + 10t Combine like terms: -9t + 10t = 1t -15 + 1t = -33 + -10t + 10t Combine like terms: -10t + 10t = 0 -15 + 1t = -33 + 0 -15 + 1t = -33 Add '15' to each side of the equation. -15 + 15 + 1t = -33 + 15 Combine like terms: -15 + 15 = 0 0 + 1t = -33 + 15 1t = -33 + 15 Combine like terms: -33 + 15 = -18 1t = -18 Divide each side by '1'. t = -18 Simplifying t = -18
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