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Simplifying 32 + 3c = 6(8c + -7) Reorder the terms: 32 + 3c = 6(-7 + 8c) 32 + 3c = (-7 * 6 + 8c * 6) 32 + 3c = (-42 + 48c) Solving 32 + 3c = -42 + 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. 32 + 3c + -48c = -42 + 48c + -48c Combine like terms: 3c + -48c = -45c 32 + -45c = -42 + 48c + -48c Combine like terms: 48c + -48c = 0 32 + -45c = -42 + 0 32 + -45c = -42 Add '-32' to each side of the equation. 32 + -32 + -45c = -42 + -32 Combine like terms: 32 + -32 = 0 0 + -45c = -42 + -32 -45c = -42 + -32 Combine like terms: -42 + -32 = -74 -45c = -74 Divide each side by '-45'. c = 1.644444444 Simplifying c = 1.644444444
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