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Simplifying 4(c + -3) + -3(c + 1) = 7c + 3 Reorder the terms: 4(-3 + c) + -3(c + 1) = 7c + 3 (-3 * 4 + c * 4) + -3(c + 1) = 7c + 3 (-12 + 4c) + -3(c + 1) = 7c + 3 Reorder the terms: -12 + 4c + -3(1 + c) = 7c + 3 -12 + 4c + (1 * -3 + c * -3) = 7c + 3 -12 + 4c + (-3 + -3c) = 7c + 3 Reorder the terms: -12 + -3 + 4c + -3c = 7c + 3 Combine like terms: -12 + -3 = -15 -15 + 4c + -3c = 7c + 3 Combine like terms: 4c + -3c = 1c -15 + 1c = 7c + 3 Reorder the terms: -15 + 1c = 3 + 7c Solving -15 + 1c = 3 + 7c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-7c' to each side of the equation. -15 + 1c + -7c = 3 + 7c + -7c Combine like terms: 1c + -7c = -6c -15 + -6c = 3 + 7c + -7c Combine like terms: 7c + -7c = 0 -15 + -6c = 3 + 0 -15 + -6c = 3 Add '15' to each side of the equation. -15 + 15 + -6c = 3 + 15 Combine like terms: -15 + 15 = 0 0 + -6c = 3 + 15 -6c = 3 + 15 Combine like terms: 3 + 15 = 18 -6c = 18 Divide each side by '-6'. c = -3 Simplifying c = -3
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