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Simplifying -8(3c + -6) = -7 + -19c Reorder the terms: -8(-6 + 3c) = -7 + -19c (-6 * -8 + 3c * -8) = -7 + -19c (48 + -24c) = -7 + -19c Solving 48 + -24c = -7 + -19c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '19c' to each side of the equation. 48 + -24c + 19c = -7 + -19c + 19c Combine like terms: -24c + 19c = -5c 48 + -5c = -7 + -19c + 19c Combine like terms: -19c + 19c = 0 48 + -5c = -7 + 0 48 + -5c = -7 Add '-48' to each side of the equation. 48 + -48 + -5c = -7 + -48 Combine like terms: 48 + -48 = 0 0 + -5c = -7 + -48 -5c = -7 + -48 Combine like terms: -7 + -48 = -55 -5c = -55 Divide each side by '-5'. c = 11 Simplifying c = 11
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