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Simplifying (3c + 2) + 4(1.3x + -5) = 0 Reorder the terms: (2 + 3c) + 4(1.3x + -5) = 0 Remove parenthesis around (2 + 3c) 2 + 3c + 4(1.3x + -5) = 0 Reorder the terms: 2 + 3c + 4(-5 + 1.3x) = 0 2 + 3c + (-5 * 4 + 1.3x * 4) = 0 2 + 3c + (-20 + 5.2x) = 0 Reorder the terms: 2 + -20 + 3c + 5.2x = 0 Combine like terms: 2 + -20 = -18 -18 + 3c + 5.2x = 0 Solving -18 + 3c + 5.2x = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 3c + 18 + 5.2x = 0 + 18 Reorder the terms: -18 + 18 + 3c + 5.2x = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 3c + 5.2x = 0 + 18 3c + 5.2x = 0 + 18 Combine like terms: 0 + 18 = 18 3c + 5.2x = 18 Add '-5.2x' to each side of the equation. 3c + 5.2x + -5.2x = 18 + -5.2x Combine like terms: 5.2x + -5.2x = 0.0 3c + 0.0 = 18 + -5.2x 3c = 18 + -5.2x Divide each side by '3'. c = 6 + -1.733333333x Simplifying c = 6 + -1.733333333x
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