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Simplifying 4(c + -7) = 3c + -9 Reorder the terms: 4(-7 + c) = 3c + -9 (-7 * 4 + c * 4) = 3c + -9 (-28 + 4c) = 3c + -9 Reorder the terms: -28 + 4c = -9 + 3c Solving -28 + 4c = -9 + 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. -28 + 4c + -3c = -9 + 3c + -3c Combine like terms: 4c + -3c = 1c -28 + 1c = -9 + 3c + -3c Combine like terms: 3c + -3c = 0 -28 + 1c = -9 + 0 -28 + 1c = -9 Add '28' to each side of the equation. -28 + 28 + 1c = -9 + 28 Combine like terms: -28 + 28 = 0 0 + 1c = -9 + 28 1c = -9 + 28 Combine like terms: -9 + 28 = 19 1c = 19 Divide each side by '1'. c = 19 Simplifying c = 19
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