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Simplifying -19 = -5 + 6(c + -8) Reorder the terms: -19 = -5 + 6(-8 + c) -19 = -5 + (-8 * 6 + c * 6) -19 = -5 + (-48 + 6c) Combine like terms: -5 + -48 = -53 -19 = -53 + 6c Solving -19 = -53 + 6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6c' to each side of the equation. -19 + -6c = -53 + 6c + -6c Combine like terms: 6c + -6c = 0 -19 + -6c = -53 + 0 -19 + -6c = -53 Add '19' to each side of the equation. -19 + 19 + -6c = -53 + 19 Combine like terms: -19 + 19 = 0 0 + -6c = -53 + 19 -6c = -53 + 19 Combine like terms: -53 + 19 = -34 -6c = -34 Divide each side by '-6'. c = 5.666666667 Simplifying c = 5.666666667
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