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Simplifying -4(d + 1) + 2(d + -2) = 10 Reorder the terms: -4(1 + d) + 2(d + -2) = 10 (1 * -4 + d * -4) + 2(d + -2) = 10 (-4 + -4d) + 2(d + -2) = 10 Reorder the terms: -4 + -4d + 2(-2 + d) = 10 -4 + -4d + (-2 * 2 + d * 2) = 10 -4 + -4d + (-4 + 2d) = 10 Reorder the terms: -4 + -4 + -4d + 2d = 10 Combine like terms: -4 + -4 = -8 -8 + -4d + 2d = 10 Combine like terms: -4d + 2d = -2d -8 + -2d = 10 Solving -8 + -2d = 10 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -2d = 10 + 8 Combine like terms: -8 + 8 = 0 0 + -2d = 10 + 8 -2d = 10 + 8 Combine like terms: 10 + 8 = 18 -2d = 18 Divide each side by '-2'. d = -9 Simplifying d = -9
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