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Simplifying 10 + 4c = 5(c + -6) + 33 Reorder the terms: 10 + 4c = 5(-6 + c) + 33 10 + 4c = (-6 * 5 + c * 5) + 33 10 + 4c = (-30 + 5c) + 33 Reorder the terms: 10 + 4c = -30 + 33 + 5c Combine like terms: -30 + 33 = 3 10 + 4c = 3 + 5c Solving 10 + 4c = 3 + 5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5c' to each side of the equation. 10 + 4c + -5c = 3 + 5c + -5c Combine like terms: 4c + -5c = -1c 10 + -1c = 3 + 5c + -5c Combine like terms: 5c + -5c = 0 10 + -1c = 3 + 0 10 + -1c = 3 Add '-10' to each side of the equation. 10 + -10 + -1c = 3 + -10 Combine like terms: 10 + -10 = 0 0 + -1c = 3 + -10 -1c = 3 + -10 Combine like terms: 3 + -10 = -7 -1c = -7 Divide each side by '-1'. c = 7 Simplifying c = 7
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