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Simplifying 8(c + -6) = 7(c + -9) Reorder the terms: 8(-6 + c) = 7(c + -9) (-6 * 8 + c * 8) = 7(c + -9) (-48 + 8c) = 7(c + -9) Reorder the terms: -48 + 8c = 7(-9 + c) -48 + 8c = (-9 * 7 + c * 7) -48 + 8c = (-63 + 7c) Solving -48 + 8c = -63 + 7c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-7c' to each side of the equation. -48 + 8c + -7c = -63 + 7c + -7c Combine like terms: 8c + -7c = 1c -48 + 1c = -63 + 7c + -7c Combine like terms: 7c + -7c = 0 -48 + 1c = -63 + 0 -48 + 1c = -63 Add '48' to each side of the equation. -48 + 48 + 1c = -63 + 48 Combine like terms: -48 + 48 = 0 0 + 1c = -63 + 48 1c = -63 + 48 Combine like terms: -63 + 48 = -15 1c = -15 Divide each side by '1'. c = -15 Simplifying c = -15
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