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Simplifying 7(d + -12) = 2d + -12 + 6 Reorder the terms: 7(-12 + d) = 2d + -12 + 6 (-12 * 7 + d * 7) = 2d + -12 + 6 (-84 + 7d) = 2d + -12 + 6 Reorder the terms: -84 + 7d = -12 + 6 + 2d Combine like terms: -12 + 6 = -6 -84 + 7d = -6 + 2d Solving -84 + 7d = -6 + 2d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-2d' to each side of the equation. -84 + 7d + -2d = -6 + 2d + -2d Combine like terms: 7d + -2d = 5d -84 + 5d = -6 + 2d + -2d Combine like terms: 2d + -2d = 0 -84 + 5d = -6 + 0 -84 + 5d = -6 Add '84' to each side of the equation. -84 + 84 + 5d = -6 + 84 Combine like terms: -84 + 84 = 0 0 + 5d = -6 + 84 5d = -6 + 84 Combine like terms: -6 + 84 = 78 5d = 78 Divide each side by '5'. d = 15.6 Simplifying d = 15.6
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