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Simplifying 3(c + -6) = 4(c + -7) Reorder the terms: 3(-6 + c) = 4(c + -7) (-6 * 3 + c * 3) = 4(c + -7) (-18 + 3c) = 4(c + -7) Reorder the terms: -18 + 3c = 4(-7 + c) -18 + 3c = (-7 * 4 + c * 4) -18 + 3c = (-28 + 4c) Solving -18 + 3c = -28 + 4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4c' to each side of the equation. -18 + 3c + -4c = -28 + 4c + -4c Combine like terms: 3c + -4c = -1c -18 + -1c = -28 + 4c + -4c Combine like terms: 4c + -4c = 0 -18 + -1c = -28 + 0 -18 + -1c = -28 Add '18' to each side of the equation. -18 + 18 + -1c = -28 + 18 Combine like terms: -18 + 18 = 0 0 + -1c = -28 + 18 -1c = -28 + 18 Combine like terms: -28 + 18 = -10 -1c = -10 Divide each side by '-1'. c = 10 Simplifying c = 10
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