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Simplifying 7(c + -4) = 8(c + -8) Reorder the terms: 7(-4 + c) = 8(c + -8) (-4 * 7 + c * 7) = 8(c + -8) (-28 + 7c) = 8(c + -8) Reorder the terms: -28 + 7c = 8(-8 + c) -28 + 7c = (-8 * 8 + c * 8) -28 + 7c = (-64 + 8c) Solving -28 + 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. -28 + 7c + -8c = -64 + 8c + -8c Combine like terms: 7c + -8c = -1c -28 + -1c = -64 + 8c + -8c Combine like terms: 8c + -8c = 0 -28 + -1c = -64 + 0 -28 + -1c = -64 Add '28' to each side of the equation. -28 + 28 + -1c = -64 + 28 Combine like terms: -28 + 28 = 0 0 + -1c = -64 + 28 -1c = -64 + 28 Combine like terms: -64 + 28 = -36 -1c = -36 Divide each side by '-1'. c = 36 Simplifying c = 36
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