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Simplifying 19 + -1(2c + 3) = 2(c + 3) Reorder the terms: 19 + -1(3 + 2c) = 2(c + 3) 19 + (3 * -1 + 2c * -1) = 2(c + 3) 19 + (-3 + -2c) = 2(c + 3) Combine like terms: 19 + -3 = 16 16 + -2c = 2(c + 3) Reorder the terms: 16 + -2c = 2(3 + c) 16 + -2c = (3 * 2 + c * 2) 16 + -2c = (6 + 2c) Solving 16 + -2c = 6 + 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. 16 + -2c + -2c = 6 + 2c + -2c Combine like terms: -2c + -2c = -4c 16 + -4c = 6 + 2c + -2c Combine like terms: 2c + -2c = 0 16 + -4c = 6 + 0 16 + -4c = 6 Add '-16' to each side of the equation. 16 + -16 + -4c = 6 + -16 Combine like terms: 16 + -16 = 0 0 + -4c = 6 + -16 -4c = 6 + -16 Combine like terms: 6 + -16 = -10 -4c = -10 Divide each side by '-4'. c = 2.5 Simplifying c = 2.5
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