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Simplifying 2(3c + -4) = 10c + 7 Reorder the terms: 2(-4 + 3c) = 10c + 7 (-4 * 2 + 3c * 2) = 10c + 7 (-8 + 6c) = 10c + 7 Reorder the terms: -8 + 6c = 7 + 10c Solving -8 + 6c = 7 + 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. -8 + 6c + -10c = 7 + 10c + -10c Combine like terms: 6c + -10c = -4c -8 + -4c = 7 + 10c + -10c Combine like terms: 10c + -10c = 0 -8 + -4c = 7 + 0 -8 + -4c = 7 Add '8' to each side of the equation. -8 + 8 + -4c = 7 + 8 Combine like terms: -8 + 8 = 0 0 + -4c = 7 + 8 -4c = 7 + 8 Combine like terms: 7 + 8 = 15 -4c = 15 Divide each side by '-4'. c = -3.75 Simplifying c = -3.75
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