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Simplifying 7(c + -6) = 8(c + -8) Reorder the terms: 7(-6 + c) = 8(c + -8) (-6 * 7 + c * 7) = 8(c + -8) (-42 + 7c) = 8(c + -8) Reorder the terms: -42 + 7c = 8(-8 + c) -42 + 7c = (-8 * 8 + c * 8) -42 + 7c = (-64 + 8c) Solving -42 + 7c = -64 + 8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8c' to each side of the equation. -42 + 7c + -8c = -64 + 8c + -8c Combine like terms: 7c + -8c = -1c -42 + -1c = -64 + 8c + -8c Combine like terms: 8c + -8c = 0 -42 + -1c = -64 + 0 -42 + -1c = -64 Add '42' to each side of the equation. -42 + 42 + -1c = -64 + 42 Combine like terms: -42 + 42 = 0 0 + -1c = -64 + 42 -1c = -64 + 42 Combine like terms: -64 + 42 = -22 -1c = -22 Divide each side by '-1'. c = 22 Simplifying c = 22
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