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Simplifying 14 = 3(d + -5) + 2(d + -3) Reorder the terms: 14 = 3(-5 + d) + 2(d + -3) 14 = (-5 * 3 + d * 3) + 2(d + -3) 14 = (-15 + 3d) + 2(d + -3) Reorder the terms: 14 = -15 + 3d + 2(-3 + d) 14 = -15 + 3d + (-3 * 2 + d * 2) 14 = -15 + 3d + (-6 + 2d) Reorder the terms: 14 = -15 + -6 + 3d + 2d Combine like terms: -15 + -6 = -21 14 = -21 + 3d + 2d Combine like terms: 3d + 2d = 5d 14 = -21 + 5d Solving 14 = -21 + 5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-5d' to each side of the equation. 14 + -5d = -21 + 5d + -5d Combine like terms: 5d + -5d = 0 14 + -5d = -21 + 0 14 + -5d = -21 Add '-14' to each side of the equation. 14 + -14 + -5d = -21 + -14 Combine like terms: 14 + -14 = 0 0 + -5d = -21 + -14 -5d = -21 + -14 Combine like terms: -21 + -14 = -35 -5d = -35 Divide each side by '-5'. d = 7 Simplifying d = 7
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