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Simplifying 12 + -23c = 7(9 + -1c) 12 + -23c = (9 * 7 + -1c * 7) 12 + -23c = (63 + -7c) Solving 12 + -23c = 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. 12 + -23c + 7c = 63 + -7c + 7c Combine like terms: -23c + 7c = -16c 12 + -16c = 63 + -7c + 7c Combine like terms: -7c + 7c = 0 12 + -16c = 63 + 0 12 + -16c = 63 Add '-12' to each side of the equation. 12 + -12 + -16c = 63 + -12 Combine like terms: 12 + -12 = 0 0 + -16c = 63 + -12 -16c = 63 + -12 Combine like terms: 63 + -12 = 51 -16c = 51 Divide each side by '-16'. c = -3.1875 Simplifying c = -3.1875
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