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Simplifying 8(-6c + 7d) + -2(5c + -3d) = 0 (-6c * 8 + 7d * 8) + -2(5c + -3d) = 0 (-48c + 56d) + -2(5c + -3d) = 0 -48c + 56d + (5c * -2 + -3d * -2) = 0 -48c + 56d + (-10c + 6d) = 0 Reorder the terms: -48c + -10c + 56d + 6d = 0 Combine like terms: -48c + -10c = -58c -58c + 56d + 6d = 0 Combine like terms: 56d + 6d = 62d -58c + 62d = 0 Solving -58c + 62d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-62d' to each side of the equation. -58c + 62d + -62d = 0 + -62d Combine like terms: 62d + -62d = 0 -58c + 0 = 0 + -62d -58c = 0 + -62d Remove the zero: -58c = -62d Divide each side by '-58'. c = 1.068965517d Simplifying c = 1.068965517d
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