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Simplifying 7(c + -6) = (4 + -1c)(-3) Reorder the terms: 7(-6 + c) = (4 + -1c)(-3) (-6 * 7 + c * 7) = (4 + -1c)(-3) (-42 + 7c) = (4 + -1c)(-3) Reorder the terms for easier multiplication: -42 + 7c = -3(4 + -1c) -42 + 7c = (4 * -3 + -1c * -3) -42 + 7c = (-12 + 3c) Solving -42 + 7c = -12 + 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. -42 + 7c + -3c = -12 + 3c + -3c Combine like terms: 7c + -3c = 4c -42 + 4c = -12 + 3c + -3c Combine like terms: 3c + -3c = 0 -42 + 4c = -12 + 0 -42 + 4c = -12 Add '42' to each side of the equation. -42 + 42 + 4c = -12 + 42 Combine like terms: -42 + 42 = 0 0 + 4c = -12 + 42 4c = -12 + 42 Combine like terms: -12 + 42 = 30 4c = 30 Divide each side by '4'. c = 7.5 Simplifying c = 7.5
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