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Simplifying 12(3c + -4) = 4c + -7 Reorder the terms: 12(-4 + 3c) = 4c + -7 (-4 * 12 + 3c * 12) = 4c + -7 (-48 + 36c) = 4c + -7 Reorder the terms: -48 + 36c = -7 + 4c Solving -48 + 36c = -7 + 4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4c' to each side of the equation. -48 + 36c + -4c = -7 + 4c + -4c Combine like terms: 36c + -4c = 32c -48 + 32c = -7 + 4c + -4c Combine like terms: 4c + -4c = 0 -48 + 32c = -7 + 0 -48 + 32c = -7 Add '48' to each side of the equation. -48 + 48 + 32c = -7 + 48 Combine like terms: -48 + 48 = 0 0 + 32c = -7 + 48 32c = -7 + 48 Combine like terms: -7 + 48 = 41 32c = 41 Divide each side by '32'. c = 1.28125 Simplifying c = 1.28125
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