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Simplifying 19 + -1(2c + 3) = 2(c + 3) + 3 Reorder the terms: 19 + -1(3 + 2c) = 2(c + 3) + 3 19 + (3 * -1 + 2c * -1) = 2(c + 3) + 3 19 + (-3 + -2c) = 2(c + 3) + 3 Combine like terms: 19 + -3 = 16 16 + -2c = 2(c + 3) + 3 Reorder the terms: 16 + -2c = 2(3 + c) + 3 16 + -2c = (3 * 2 + c * 2) + 3 16 + -2c = (6 + 2c) + 3 Reorder the terms: 16 + -2c = 6 + 3 + 2c Combine like terms: 6 + 3 = 9 16 + -2c = 9 + 2c Solving 16 + -2c = 9 + 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 = 9 + 2c + -2c Combine like terms: -2c + -2c = -4c 16 + -4c = 9 + 2c + -2c Combine like terms: 2c + -2c = 0 16 + -4c = 9 + 0 16 + -4c = 9 Add '-16' to each side of the equation. 16 + -16 + -4c = 9 + -16 Combine like terms: 16 + -16 = 0 0 + -4c = 9 + -16 -4c = 9 + -16 Combine like terms: 9 + -16 = -7 -4c = -7 Divide each side by '-4'. c = 1.75 Simplifying c = 1.75
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