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Simplifying 6(d + -8) = 3(q + -12) Reorder the terms: 6(-8 + d) = 3(q + -12) (-8 * 6 + d * 6) = 3(q + -12) (-48 + 6d) = 3(q + -12) Reorder the terms: -48 + 6d = 3(-12 + q) -48 + 6d = (-12 * 3 + q * 3) -48 + 6d = (-36 + 3q) Solving -48 + 6d = -36 + 3q Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + 6d = -36 + 48 + 3q Combine like terms: -48 + 48 = 0 0 + 6d = -36 + 48 + 3q 6d = -36 + 48 + 3q Combine like terms: -36 + 48 = 12 6d = 12 + 3q Divide each side by '6'. d = 2 + 0.5q Simplifying d = 2 + 0.5q
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