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Simplifying 4(d + -5) + 2 = 3(2d + 3) Reorder the terms: 4(-5 + d) + 2 = 3(2d + 3) (-5 * 4 + d * 4) + 2 = 3(2d + 3) (-20 + 4d) + 2 = 3(2d + 3) Reorder the terms: -20 + 2 + 4d = 3(2d + 3) Combine like terms: -20 + 2 = -18 -18 + 4d = 3(2d + 3) Reorder the terms: -18 + 4d = 3(3 + 2d) -18 + 4d = (3 * 3 + 2d * 3) -18 + 4d = (9 + 6d) Solving -18 + 4d = 9 + 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. -18 + 4d + -6d = 9 + 6d + -6d Combine like terms: 4d + -6d = -2d -18 + -2d = 9 + 6d + -6d Combine like terms: 6d + -6d = 0 -18 + -2d = 9 + 0 -18 + -2d = 9 Add '18' to each side of the equation. -18 + 18 + -2d = 9 + 18 Combine like terms: -18 + 18 = 0 0 + -2d = 9 + 18 -2d = 9 + 18 Combine like terms: 9 + 18 = 27 -2d = 27 Divide each side by '-2'. d = -13.5 Simplifying d = -13.5
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