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Simplifying 5(d + -4) + 2 = (d + 2) + -4 Reorder the terms: 5(-4 + d) + 2 = (d + 2) + -4 (-4 * 5 + d * 5) + 2 = (d + 2) + -4 (-20 + 5d) + 2 = (d + 2) + -4 Reorder the terms: -20 + 2 + 5d = (d + 2) + -4 Combine like terms: -20 + 2 = -18 -18 + 5d = (d + 2) + -4 Reorder the terms: -18 + 5d = (2 + d) + -4 Remove parenthesis around (2 + d) -18 + 5d = 2 + d + -4 Reorder the terms: -18 + 5d = 2 + -4 + d Combine like terms: 2 + -4 = -2 -18 + 5d = -2 + d Solving -18 + 5d = -2 + d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1d' to each side of the equation. -18 + 5d + -1d = -2 + d + -1d Combine like terms: 5d + -1d = 4d -18 + 4d = -2 + d + -1d Combine like terms: d + -1d = 0 -18 + 4d = -2 + 0 -18 + 4d = -2 Add '18' to each side of the equation. -18 + 18 + 4d = -2 + 18 Combine like terms: -18 + 18 = 0 0 + 4d = -2 + 18 4d = -2 + 18 Combine like terms: -2 + 18 = 16 4d = 16 Divide each side by '4'. d = 4 Simplifying d = 4
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