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Simplifying 4(c + -3) + -6 = 10 + -3c Reorder the terms: 4(-3 + c) + -6 = 10 + -3c (-3 * 4 + c * 4) + -6 = 10 + -3c (-12 + 4c) + -6 = 10 + -3c Reorder the terms: -12 + -6 + 4c = 10 + -3c Combine like terms: -12 + -6 = -18 -18 + 4c = 10 + -3c Solving -18 + 4c = 10 + -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. -18 + 4c + 3c = 10 + -3c + 3c Combine like terms: 4c + 3c = 7c -18 + 7c = 10 + -3c + 3c Combine like terms: -3c + 3c = 0 -18 + 7c = 10 + 0 -18 + 7c = 10 Add '18' to each side of the equation. -18 + 18 + 7c = 10 + 18 Combine like terms: -18 + 18 = 0 0 + 7c = 10 + 18 7c = 10 + 18 Combine like terms: 10 + 18 = 28 7c = 28 Divide each side by '7'. c = 4 Simplifying c = 4
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