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Simplifying -1(2d + -3) + -6(8 + 4m) = 163 Reorder the terms: -1(-3 + 2d) + -6(8 + 4m) = 163 (-3 * -1 + 2d * -1) + -6(8 + 4m) = 163 (3 + -2d) + -6(8 + 4m) = 163 3 + -2d + (8 * -6 + 4m * -6) = 163 3 + -2d + (-48 + -24m) = 163 Reorder the terms: 3 + -48 + -2d + -24m = 163 Combine like terms: 3 + -48 = -45 -45 + -2d + -24m = 163 Solving -45 + -2d + -24m = 163 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '45' to each side of the equation. -45 + -2d + 45 + -24m = 163 + 45 Reorder the terms: -45 + 45 + -2d + -24m = 163 + 45 Combine like terms: -45 + 45 = 0 0 + -2d + -24m = 163 + 45 -2d + -24m = 163 + 45 Combine like terms: 163 + 45 = 208 -2d + -24m = 208 Add '24m' to each side of the equation. -2d + -24m + 24m = 208 + 24m Combine like terms: -24m + 24m = 0 -2d + 0 = 208 + 24m -2d = 208 + 24m Divide each side by '-2'. d = -104 + -12m Simplifying d = -104 + -12m
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