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Simplifying -46c + -1(-42c) + -19c + -1(-54) = -15 Remove parenthesis around (-42c) -46c + -1 * -42c + -19c + -1(-54) = -15 Multiply -1 * -42 -46c + 42c + -19c + -1(-54) = -15 Multiply -1 * -54 -46c + 42c + -19c + 54 = -15 Reorder the terms: 54 + -46c + 42c + -19c = -15 Combine like terms: -46c + 42c = -4c 54 + -4c + -19c = -15 Combine like terms: -4c + -19c = -23c 54 + -23c = -15 Solving 54 + -23c = -15 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-54' to each side of the equation. 54 + -54 + -23c = -15 + -54 Combine like terms: 54 + -54 = 0 0 + -23c = -15 + -54 -23c = -15 + -54 Combine like terms: -15 + -54 = -69 -23c = -69 Divide each side by '-23'. c = 3 Simplifying c = 3
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