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Simplifying 7(c + -3) = 10c Reorder the terms: 7(-3 + c) = 10c (-3 * 7 + c * 7) = 10c (-21 + 7c) = 10c Solving -21 + 7c = 10c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-10c' to each side of the equation. -21 + 7c + -10c = 10c + -10c Combine like terms: 7c + -10c = -3c -21 + -3c = 10c + -10c Combine like terms: 10c + -10c = 0 -21 + -3c = 0 Add '21' to each side of the equation. -21 + 21 + -3c = 0 + 21 Combine like terms: -21 + 21 = 0 0 + -3c = 0 + 21 -3c = 0 + 21 Combine like terms: 0 + 21 = 21 -3c = 21 Divide each side by '-3'. c = -7 Simplifying c = -7
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