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Simplifying -3(9c + 14) = 3(5x + 46) Reorder the terms: -3(14 + 9c) = 3(5x + 46) (14 * -3 + 9c * -3) = 3(5x + 46) (-42 + -27c) = 3(5x + 46) Reorder the terms: -42 + -27c = 3(46 + 5x) -42 + -27c = (46 * 3 + 5x * 3) -42 + -27c = (138 + 15x) Solving -42 + -27c = 138 + 15x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + -27c = 138 + 42 + 15x Combine like terms: -42 + 42 = 0 0 + -27c = 138 + 42 + 15x -27c = 138 + 42 + 15x Combine like terms: 138 + 42 = 180 -27c = 180 + 15x Divide each side by '-27'. c = -6.666666667 + -0.5555555556x Simplifying c = -6.666666667 + -0.5555555556x
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