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Simplifying 4(3c + -4) + -7 = 4c + 9 Reorder the terms: 4(-4 + 3c) + -7 = 4c + 9 (-4 * 4 + 3c * 4) + -7 = 4c + 9 (-16 + 12c) + -7 = 4c + 9 Reorder the terms: -16 + -7 + 12c = 4c + 9 Combine like terms: -16 + -7 = -23 -23 + 12c = 4c + 9 Reorder the terms: -23 + 12c = 9 + 4c Solving -23 + 12c = 9 + 4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4c' to each side of the equation. -23 + 12c + -4c = 9 + 4c + -4c Combine like terms: 12c + -4c = 8c -23 + 8c = 9 + 4c + -4c Combine like terms: 4c + -4c = 0 -23 + 8c = 9 + 0 -23 + 8c = 9 Add '23' to each side of the equation. -23 + 23 + 8c = 9 + 23 Combine like terms: -23 + 23 = 0 0 + 8c = 9 + 23 8c = 9 + 23 Combine like terms: 9 + 23 = 32 8c = 32 Divide each side by '8'. c = 4 Simplifying c = 4
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