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Simplifying 4(c + -4) = 3(7 + c) Reorder the terms: 4(-4 + c) = 3(7 + c) (-4 * 4 + c * 4) = 3(7 + c) (-16 + 4c) = 3(7 + c) -16 + 4c = (7 * 3 + c * 3) -16 + 4c = (21 + 3c) Solving -16 + 4c = 21 + 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. -16 + 4c + -3c = 21 + 3c + -3c Combine like terms: 4c + -3c = 1c -16 + 1c = 21 + 3c + -3c Combine like terms: 3c + -3c = 0 -16 + 1c = 21 + 0 -16 + 1c = 21 Add '16' to each side of the equation. -16 + 16 + 1c = 21 + 16 Combine like terms: -16 + 16 = 0 0 + 1c = 21 + 16 1c = 21 + 16 Combine like terms: 21 + 16 = 37 1c = 37 Divide each side by '1'. c = 37 Simplifying c = 37
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