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Simplifying 3(d + -14) + 7(d + -12) = 14 Reorder the terms: 3(-14 + d) + 7(d + -12) = 14 (-14 * 3 + d * 3) + 7(d + -12) = 14 (-42 + 3d) + 7(d + -12) = 14 Reorder the terms: -42 + 3d + 7(-12 + d) = 14 -42 + 3d + (-12 * 7 + d * 7) = 14 -42 + 3d + (-84 + 7d) = 14 Reorder the terms: -42 + -84 + 3d + 7d = 14 Combine like terms: -42 + -84 = -126 -126 + 3d + 7d = 14 Combine like terms: 3d + 7d = 10d -126 + 10d = 14 Solving -126 + 10d = 14 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '126' to each side of the equation. -126 + 126 + 10d = 14 + 126 Combine like terms: -126 + 126 = 0 0 + 10d = 14 + 126 10d = 14 + 126 Combine like terms: 14 + 126 = 140 10d = 140 Divide each side by '10'. d = 14 Simplifying d = 14
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