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Simplifying 42 + -1(2c + 4) = 4(c + 6) + 6 Reorder the terms: 42 + -1(4 + 2c) = 4(c + 6) + 6 42 + (4 * -1 + 2c * -1) = 4(c + 6) + 6 42 + (-4 + -2c) = 4(c + 6) + 6 Combine like terms: 42 + -4 = 38 38 + -2c = 4(c + 6) + 6 Reorder the terms: 38 + -2c = 4(6 + c) + 6 38 + -2c = (6 * 4 + c * 4) + 6 38 + -2c = (24 + 4c) + 6 Reorder the terms: 38 + -2c = 24 + 6 + 4c Combine like terms: 24 + 6 = 30 38 + -2c = 30 + 4c Solving 38 + -2c = 30 + 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. 38 + -2c + -4c = 30 + 4c + -4c Combine like terms: -2c + -4c = -6c 38 + -6c = 30 + 4c + -4c Combine like terms: 4c + -4c = 0 38 + -6c = 30 + 0 38 + -6c = 30 Add '-38' to each side of the equation. 38 + -38 + -6c = 30 + -38 Combine like terms: 38 + -38 = 0 0 + -6c = 30 + -38 -6c = 30 + -38 Combine like terms: 30 + -38 = -8 -6c = -8 Divide each side by '-6'. c = 1.333333333 Simplifying c = 1.333333333
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