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Simplifying 10c + 4 = 6(c + -3) Reorder the terms: 4 + 10c = 6(c + -3) Reorder the terms: 4 + 10c = 6(-3 + c) 4 + 10c = (-3 * 6 + c * 6) 4 + 10c = (-18 + 6c) Solving 4 + 10c = -18 + 6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6c' to each side of the equation. 4 + 10c + -6c = -18 + 6c + -6c Combine like terms: 10c + -6c = 4c 4 + 4c = -18 + 6c + -6c Combine like terms: 6c + -6c = 0 4 + 4c = -18 + 0 4 + 4c = -18 Add '-4' to each side of the equation. 4 + -4 + 4c = -18 + -4 Combine like terms: 4 + -4 = 0 0 + 4c = -18 + -4 4c = -18 + -4 Combine like terms: -18 + -4 = -22 4c = -22 Divide each side by '4'. c = -5.5 Simplifying c = -5.5
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