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Simplifying 4(2c + -52) = 80(c + -4) Reorder the terms: 4(-52 + 2c) = 80(c + -4) (-52 * 4 + 2c * 4) = 80(c + -4) (-208 + 8c) = 80(c + -4) Reorder the terms: -208 + 8c = 80(-4 + c) -208 + 8c = (-4 * 80 + c * 80) -208 + 8c = (-320 + 80c) Solving -208 + 8c = -320 + 80c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-80c' to each side of the equation. -208 + 8c + -80c = -320 + 80c + -80c Combine like terms: 8c + -80c = -72c -208 + -72c = -320 + 80c + -80c Combine like terms: 80c + -80c = 0 -208 + -72c = -320 + 0 -208 + -72c = -320 Add '208' to each side of the equation. -208 + 208 + -72c = -320 + 208 Combine like terms: -208 + 208 = 0 0 + -72c = -320 + 208 -72c = -320 + 208 Combine like terms: -320 + 208 = -112 -72c = -112 Divide each side by '-72'. c = 1.555555556 Simplifying c = 1.555555556
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