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Simplifying 15(d + 6) = 4(d + -4) + 10d Reorder the terms: 15(6 + d) = 4(d + -4) + 10d (6 * 15 + d * 15) = 4(d + -4) + 10d (90 + 15d) = 4(d + -4) + 10d Reorder the terms: 90 + 15d = 4(-4 + d) + 10d 90 + 15d = (-4 * 4 + d * 4) + 10d 90 + 15d = (-16 + 4d) + 10d Combine like terms: 4d + 10d = 14d 90 + 15d = -16 + 14d Solving 90 + 15d = -16 + 14d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-14d' to each side of the equation. 90 + 15d + -14d = -16 + 14d + -14d Combine like terms: 15d + -14d = 1d 90 + 1d = -16 + 14d + -14d Combine like terms: 14d + -14d = 0 90 + 1d = -16 + 0 90 + 1d = -16 Add '-90' to each side of the equation. 90 + -90 + 1d = -16 + -90 Combine like terms: 90 + -90 = 0 0 + 1d = -16 + -90 1d = -16 + -90 Combine like terms: -16 + -90 = -106 1d = -106 Divide each side by '1'. d = -106 Simplifying d = -106
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