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Simplifying 7(1c + -7) = 8(1c + -8) Reorder the terms: 7(-7 + 1c) = 8(1c + -8) (-7 * 7 + 1c * 7) = 8(1c + -8) (-49 + 7c) = 8(1c + -8) Reorder the terms: -49 + 7c = 8(-8 + 1c) -49 + 7c = (-8 * 8 + 1c * 8) -49 + 7c = (-64 + 8c) Solving -49 + 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. -49 + 7c + -8c = -64 + 8c + -8c Combine like terms: 7c + -8c = -1c -49 + -1c = -64 + 8c + -8c Combine like terms: 8c + -8c = 0 -49 + -1c = -64 + 0 -49 + -1c = -64 Add '49' to each side of the equation. -49 + 49 + -1c = -64 + 49 Combine like terms: -49 + 49 = 0 0 + -1c = -64 + 49 -1c = -64 + 49 Combine like terms: -64 + 49 = -15 -1c = -15 Divide each side by '-1'. c = 15 Simplifying c = 15
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