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Simplifying 6(c + -3) = 8(c + -7) Reorder the terms: 6(-3 + c) = 8(c + -7) (-3 * 6 + c * 6) = 8(c + -7) (-18 + 6c) = 8(c + -7) Reorder the terms: -18 + 6c = 8(-7 + c) -18 + 6c = (-7 * 8 + c * 8) -18 + 6c = (-56 + 8c) Solving -18 + 6c = -56 + 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. -18 + 6c + -8c = -56 + 8c + -8c Combine like terms: 6c + -8c = -2c -18 + -2c = -56 + 8c + -8c Combine like terms: 8c + -8c = 0 -18 + -2c = -56 + 0 -18 + -2c = -56 Add '18' to each side of the equation. -18 + 18 + -2c = -56 + 18 Combine like terms: -18 + 18 = 0 0 + -2c = -56 + 18 -2c = -56 + 18 Combine like terms: -56 + 18 = -38 -2c = -38 Divide each side by '-2'. c = 19 Simplifying c = 19
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