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Simplifying -2(d + 6) + -3(4d + -2) = 22 Reorder the terms: -2(6 + d) + -3(4d + -2) = 22 (6 * -2 + d * -2) + -3(4d + -2) = 22 (-12 + -2d) + -3(4d + -2) = 22 Reorder the terms: -12 + -2d + -3(-2 + 4d) = 22 -12 + -2d + (-2 * -3 + 4d * -3) = 22 -12 + -2d + (6 + -12d) = 22 Reorder the terms: -12 + 6 + -2d + -12d = 22 Combine like terms: -12 + 6 = -6 -6 + -2d + -12d = 22 Combine like terms: -2d + -12d = -14d -6 + -14d = 22 Solving -6 + -14d = 22 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -14d = 22 + 6 Combine like terms: -6 + 6 = 0 0 + -14d = 22 + 6 -14d = 22 + 6 Combine like terms: 22 + 6 = 28 -14d = 28 Divide each side by '-14'. d = -2 Simplifying d = -2
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