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Simplifying -5d + 3(d + -5) = -3 + 4(d + 12) Reorder the terms: -5d + 3(-5 + d) = -3 + 4(d + 12) -5d + (-5 * 3 + d * 3) = -3 + 4(d + 12) -5d + (-15 + 3d) = -3 + 4(d + 12) Reorder the terms: -15 + -5d + 3d = -3 + 4(d + 12) Combine like terms: -5d + 3d = -2d -15 + -2d = -3 + 4(d + 12) Reorder the terms: -15 + -2d = -3 + 4(12 + d) -15 + -2d = -3 + (12 * 4 + d * 4) -15 + -2d = -3 + (48 + 4d) Combine like terms: -3 + 48 = 45 -15 + -2d = 45 + 4d Solving -15 + -2d = 45 + 4d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-4d' to each side of the equation. -15 + -2d + -4d = 45 + 4d + -4d Combine like terms: -2d + -4d = -6d -15 + -6d = 45 + 4d + -4d Combine like terms: 4d + -4d = 0 -15 + -6d = 45 + 0 -15 + -6d = 45 Add '15' to each side of the equation. -15 + 15 + -6d = 45 + 15 Combine like terms: -15 + 15 = 0 0 + -6d = 45 + 15 -6d = 45 + 15 Combine like terms: 45 + 15 = 60 -6d = 60 Divide each side by '-6'. d = -10 Simplifying d = -10
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