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Simplifying 8c + -10 = 2 + 12(c + 4) Reorder the terms: -10 + 8c = 2 + 12(c + 4) Reorder the terms: -10 + 8c = 2 + 12(4 + c) -10 + 8c = 2 + (4 * 12 + c * 12) -10 + 8c = 2 + (48 + 12c) Combine like terms: 2 + 48 = 50 -10 + 8c = 50 + 12c Solving -10 + 8c = 50 + 12c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-12c' to each side of the equation. -10 + 8c + -12c = 50 + 12c + -12c Combine like terms: 8c + -12c = -4c -10 + -4c = 50 + 12c + -12c Combine like terms: 12c + -12c = 0 -10 + -4c = 50 + 0 -10 + -4c = 50 Add '10' to each side of the equation. -10 + 10 + -4c = 50 + 10 Combine like terms: -10 + 10 = 0 0 + -4c = 50 + 10 -4c = 50 + 10 Combine like terms: 50 + 10 = 60 -4c = 60 Divide each side by '-4'. c = -15 Simplifying c = -15
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