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Simplifying 5(6 + 3) = 4(c + -5) Combine like terms: 6 + 3 = 9 5(9) = 4(c + -5) Multiply 5 * 9 45 = 4(c + -5) Reorder the terms: 45 = 4(-5 + c) 45 = (-5 * 4 + c * 4) 45 = (-20 + 4c) Solving 45 = -20 + 4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4c' to each side of the equation. 45 + -4c = -20 + 4c + -4c Combine like terms: 4c + -4c = 0 45 + -4c = -20 + 0 45 + -4c = -20 Add '-45' to each side of the equation. 45 + -45 + -4c = -20 + -45 Combine like terms: 45 + -45 = 0 0 + -4c = -20 + -45 -4c = -20 + -45 Combine like terms: -20 + -45 = -65 -4c = -65 Divide each side by '-4'. c = 16.25 Simplifying c = 16.25
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