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Simplifying 6(4c + -9) + -4 = 8c + -19 + 3c Reorder the terms: 6(-9 + 4c) + -4 = 8c + -19 + 3c (-9 * 6 + 4c * 6) + -4 = 8c + -19 + 3c (-54 + 24c) + -4 = 8c + -19 + 3c Reorder the terms: -54 + -4 + 24c = 8c + -19 + 3c Combine like terms: -54 + -4 = -58 -58 + 24c = 8c + -19 + 3c Reorder the terms: -58 + 24c = -19 + 8c + 3c Combine like terms: 8c + 3c = 11c -58 + 24c = -19 + 11c Solving -58 + 24c = -19 + 11c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-11c' to each side of the equation. -58 + 24c + -11c = -19 + 11c + -11c Combine like terms: 24c + -11c = 13c -58 + 13c = -19 + 11c + -11c Combine like terms: 11c + -11c = 0 -58 + 13c = -19 + 0 -58 + 13c = -19 Add '58' to each side of the equation. -58 + 58 + 13c = -19 + 58 Combine like terms: -58 + 58 = 0 0 + 13c = -19 + 58 13c = -19 + 58 Combine like terms: -19 + 58 = 39 13c = 39 Divide each side by '13'. c = 3 Simplifying c = 3
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