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Simplifying 4c + -19 = -3(c + 4) Reorder the terms: -19 + 4c = -3(c + 4) Reorder the terms: -19 + 4c = -3(4 + c) -19 + 4c = (4 * -3 + c * -3) -19 + 4c = (-12 + -3c) Solving -19 + 4c = -12 + -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. -19 + 4c + 3c = -12 + -3c + 3c Combine like terms: 4c + 3c = 7c -19 + 7c = -12 + -3c + 3c Combine like terms: -3c + 3c = 0 -19 + 7c = -12 + 0 -19 + 7c = -12 Add '19' to each side of the equation. -19 + 19 + 7c = -12 + 19 Combine like terms: -19 + 19 = 0 0 + 7c = -12 + 19 7c = -12 + 19 Combine like terms: -12 + 19 = 7 7c = 7 Divide each side by '7'. c = 1 Simplifying c = 1
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