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Simplifying 8(3c + -2) = 4(7c + -1) Reorder the terms: 8(-2 + 3c) = 4(7c + -1) (-2 * 8 + 3c * 8) = 4(7c + -1) (-16 + 24c) = 4(7c + -1) Reorder the terms: -16 + 24c = 4(-1 + 7c) -16 + 24c = (-1 * 4 + 7c * 4) -16 + 24c = (-4 + 28c) Solving -16 + 24c = -4 + 28c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-28c' to each side of the equation. -16 + 24c + -28c = -4 + 28c + -28c Combine like terms: 24c + -28c = -4c -16 + -4c = -4 + 28c + -28c Combine like terms: 28c + -28c = 0 -16 + -4c = -4 + 0 -16 + -4c = -4 Add '16' to each side of the equation. -16 + 16 + -4c = -4 + 16 Combine like terms: -16 + 16 = 0 0 + -4c = -4 + 16 -4c = -4 + 16 Combine like terms: -4 + 16 = 12 -4c = 12 Divide each side by '-4'. c = -3 Simplifying c = -3
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