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Simplifying -8(c + 6) = 4(x + -6) Reorder the terms: -8(6 + c) = 4(x + -6) (6 * -8 + c * -8) = 4(x + -6) (-48 + -8c) = 4(x + -6) Reorder the terms: -48 + -8c = 4(-6 + x) -48 + -8c = (-6 * 4 + x * 4) -48 + -8c = (-24 + 4x) Solving -48 + -8c = -24 + 4x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + -8c = -24 + 48 + 4x Combine like terms: -48 + 48 = 0 0 + -8c = -24 + 48 + 4x -8c = -24 + 48 + 4x Combine like terms: -24 + 48 = 24 -8c = 24 + 4x Divide each side by '-8'. c = -3 + -0.5x Simplifying c = -3 + -0.5x
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