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Simplifying 4(3c) + -1(19 + -1c) = -9(5) Remove parenthesis around (3c) 4 * 3c + -1(19 + -1c) = -9(5) Multiply 4 * 3 12c + -1(19 + -1c) = -9(5) 12c + (19 * -1 + -1c * -1) = -9(5) 12c + (-19 + 1c) = -9(5) Reorder the terms: -19 + 12c + 1c = -9(5) Combine like terms: 12c + 1c = 13c -19 + 13c = -9(5) Multiply -9 * 5 -19 + 13c = -45 Solving -19 + 13c = -45 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 13c = -45 + 19 Combine like terms: -19 + 19 = 0 0 + 13c = -45 + 19 13c = -45 + 19 Combine like terms: -45 + 19 = -26 13c = -26 Divide each side by '13'. c = -2 Simplifying c = -2
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