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Simplifying 13 + -4(2c + 6) = 2(c + 2) + 3 Reorder the terms: 13 + -4(6 + 2c) = 2(c + 2) + 3 13 + (6 * -4 + 2c * -4) = 2(c + 2) + 3 13 + (-24 + -8c) = 2(c + 2) + 3 Combine like terms: 13 + -24 = -11 -11 + -8c = 2(c + 2) + 3 Reorder the terms: -11 + -8c = 2(2 + c) + 3 -11 + -8c = (2 * 2 + c * 2) + 3 -11 + -8c = (4 + 2c) + 3 Reorder the terms: -11 + -8c = 4 + 3 + 2c Combine like terms: 4 + 3 = 7 -11 + -8c = 7 + 2c Solving -11 + -8c = 7 + 2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2c' to each side of the equation. -11 + -8c + -2c = 7 + 2c + -2c Combine like terms: -8c + -2c = -10c -11 + -10c = 7 + 2c + -2c Combine like terms: 2c + -2c = 0 -11 + -10c = 7 + 0 -11 + -10c = 7 Add '11' to each side of the equation. -11 + 11 + -10c = 7 + 11 Combine like terms: -11 + 11 = 0 0 + -10c = 7 + 11 -10c = 7 + 11 Combine like terms: 7 + 11 = 18 -10c = 18 Divide each side by '-10'. c = -1.8 Simplifying c = -1.8
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