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Simplifying 3(t + -7) + -4(2t + -1) = -6(t + 4) + -5 Reorder the terms: 3(-7 + t) + -4(2t + -1) = -6(t + 4) + -5 (-7 * 3 + t * 3) + -4(2t + -1) = -6(t + 4) + -5 (-21 + 3t) + -4(2t + -1) = -6(t + 4) + -5 Reorder the terms: -21 + 3t + -4(-1 + 2t) = -6(t + 4) + -5 -21 + 3t + (-1 * -4 + 2t * -4) = -6(t + 4) + -5 -21 + 3t + (4 + -8t) = -6(t + 4) + -5 Reorder the terms: -21 + 4 + 3t + -8t = -6(t + 4) + -5 Combine like terms: -21 + 4 = -17 -17 + 3t + -8t = -6(t + 4) + -5 Combine like terms: 3t + -8t = -5t -17 + -5t = -6(t + 4) + -5 Reorder the terms: -17 + -5t = -6(4 + t) + -5 -17 + -5t = (4 * -6 + t * -6) + -5 -17 + -5t = (-24 + -6t) + -5 Reorder the terms: -17 + -5t = -24 + -5 + -6t Combine like terms: -24 + -5 = -29 -17 + -5t = -29 + -6t Solving -17 + -5t = -29 + -6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '6t' to each side of the equation. -17 + -5t + 6t = -29 + -6t + 6t Combine like terms: -5t + 6t = 1t -17 + 1t = -29 + -6t + 6t Combine like terms: -6t + 6t = 0 -17 + 1t = -29 + 0 -17 + 1t = -29 Add '17' to each side of the equation. -17 + 17 + 1t = -29 + 17 Combine like terms: -17 + 17 = 0 0 + 1t = -29 + 17 1t = -29 + 17 Combine like terms: -29 + 17 = -12 1t = -12 Divide each side by '1'. t = -12 Simplifying t = -12
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