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Simplifying 4(d + -12) = (6d + 10) + -1(6 + 2d) Reorder the terms: 4(-12 + d) = (6d + 10) + -1(6 + 2d) (-12 * 4 + d * 4) = (6d + 10) + -1(6 + 2d) (-48 + 4d) = (6d + 10) + -1(6 + 2d) Reorder the terms: -48 + 4d = (10 + 6d) + -1(6 + 2d) Remove parenthesis around (10 + 6d) -48 + 4d = 10 + 6d + -1(6 + 2d) -48 + 4d = 10 + 6d + (6 * -1 + 2d * -1) -48 + 4d = 10 + 6d + (-6 + -2d) Reorder the terms: -48 + 4d = 10 + -6 + 6d + -2d Combine like terms: 10 + -6 = 4 -48 + 4d = 4 + 6d + -2d Combine like terms: 6d + -2d = 4d -48 + 4d = 4 + 4d Add '-4d' to each side of the equation. -48 + 4d + -4d = 4 + 4d + -4d Combine like terms: 4d + -4d = 0 -48 + 0 = 4 + 4d + -4d -48 = 4 + 4d + -4d Combine like terms: 4d + -4d = 0 -48 = 4 + 0 -48 = 4 Solving -48 = 4 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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