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Simplifying -4(c + 4) = 3(v + 4) + 7 Reorder the terms: -4(4 + c) = 3(v + 4) + 7 (4 * -4 + c * -4) = 3(v + 4) + 7 (-16 + -4c) = 3(v + 4) + 7 Reorder the terms: -16 + -4c = 3(4 + v) + 7 -16 + -4c = (4 * 3 + v * 3) + 7 -16 + -4c = (12 + 3v) + 7 Reorder the terms: -16 + -4c = 12 + 7 + 3v Combine like terms: 12 + 7 = 19 -16 + -4c = 19 + 3v Solving -16 + -4c = 19 + 3v Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -4c = 19 + 16 + 3v Combine like terms: -16 + 16 = 0 0 + -4c = 19 + 16 + 3v -4c = 19 + 16 + 3v Combine like terms: 19 + 16 = 35 -4c = 35 + 3v Divide each side by '-4'. c = -8.75 + -0.75v Simplifying c = -8.75 + -0.75v
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