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Simplifying 2d + -4(d + 6) = 6d + -48 Reorder the terms: 2d + -4(6 + d) = 6d + -48 2d + (6 * -4 + d * -4) = 6d + -48 2d + (-24 + -4d) = 6d + -48 Reorder the terms: -24 + 2d + -4d = 6d + -48 Combine like terms: 2d + -4d = -2d -24 + -2d = 6d + -48 Reorder the terms: -24 + -2d = -48 + 6d Solving -24 + -2d = -48 + 6d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-6d' to each side of the equation. -24 + -2d + -6d = -48 + 6d + -6d Combine like terms: -2d + -6d = -8d -24 + -8d = -48 + 6d + -6d Combine like terms: 6d + -6d = 0 -24 + -8d = -48 + 0 -24 + -8d = -48 Add '24' to each side of the equation. -24 + 24 + -8d = -48 + 24 Combine like terms: -24 + 24 = 0 0 + -8d = -48 + 24 -8d = -48 + 24 Combine like terms: -48 + 24 = -24 -8d = -24 Divide each side by '-8'. d = 3 Simplifying d = 3
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