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Simplifying 4(d + 10) + 3(d + -4) = 63 Reorder the terms: 4(10 + d) + 3(d + -4) = 63 (10 * 4 + d * 4) + 3(d + -4) = 63 (40 + 4d) + 3(d + -4) = 63 Reorder the terms: 40 + 4d + 3(-4 + d) = 63 40 + 4d + (-4 * 3 + d * 3) = 63 40 + 4d + (-12 + 3d) = 63 Reorder the terms: 40 + -12 + 4d + 3d = 63 Combine like terms: 40 + -12 = 28 28 + 4d + 3d = 63 Combine like terms: 4d + 3d = 7d 28 + 7d = 63 Solving 28 + 7d = 63 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 7d = 63 + -28 Combine like terms: 28 + -28 = 0 0 + 7d = 63 + -28 7d = 63 + -28 Combine like terms: 63 + -28 = 35 7d = 35 Divide each side by '7'. d = 5 Simplifying d = 5
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