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Simplifying 3 + 9(7c + -4) = 8 + -15c Reorder the terms: 3 + 9(-4 + 7c) = 8 + -15c 3 + (-4 * 9 + 7c * 9) = 8 + -15c 3 + (-36 + 63c) = 8 + -15c Combine like terms: 3 + -36 = -33 -33 + 63c = 8 + -15c Solving -33 + 63c = 8 + -15c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '15c' to each side of the equation. -33 + 63c + 15c = 8 + -15c + 15c Combine like terms: 63c + 15c = 78c -33 + 78c = 8 + -15c + 15c Combine like terms: -15c + 15c = 0 -33 + 78c = 8 + 0 -33 + 78c = 8 Add '33' to each side of the equation. -33 + 33 + 78c = 8 + 33 Combine like terms: -33 + 33 = 0 0 + 78c = 8 + 33 78c = 8 + 33 Combine like terms: 8 + 33 = 41 78c = 41 Divide each side by '78'. c = 0.5256410256 Simplifying c = 0.5256410256
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