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Simplifying 3(4c + -6) + 3c = 8(6c + 4) Reorder the terms: 3(-6 + 4c) + 3c = 8(6c + 4) (-6 * 3 + 4c * 3) + 3c = 8(6c + 4) (-18 + 12c) + 3c = 8(6c + 4) Combine like terms: 12c + 3c = 15c -18 + 15c = 8(6c + 4) Reorder the terms: -18 + 15c = 8(4 + 6c) -18 + 15c = (4 * 8 + 6c * 8) -18 + 15c = (32 + 48c) Solving -18 + 15c = 32 + 48c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-48c' to each side of the equation. -18 + 15c + -48c = 32 + 48c + -48c Combine like terms: 15c + -48c = -33c -18 + -33c = 32 + 48c + -48c Combine like terms: 48c + -48c = 0 -18 + -33c = 32 + 0 -18 + -33c = 32 Add '18' to each side of the equation. -18 + 18 + -33c = 32 + 18 Combine like terms: -18 + 18 = 0 0 + -33c = 32 + 18 -33c = 32 + 18 Combine like terms: 32 + 18 = 50 -33c = 50 Divide each side by '-33'. c = -1.515151515 Simplifying c = -1.515151515
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