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Simplifying (4.2m + 6.4p) + -1(4.2p + 6.7m) = 0 Remove parenthesis around (4.2m + 6.4p) 4.2m + 6.4p + -1(4.2p + 6.7m) = 0 Reorder the terms: 4.2m + 6.4p + -1(6.7m + 4.2p) = 0 4.2m + 6.4p + (6.7m * -1 + 4.2p * -1) = 0 4.2m + 6.4p + (-6.7m + -4.2p) = 0 Reorder the terms: 4.2m + -6.7m + 6.4p + -4.2p = 0 Combine like terms: 4.2m + -6.7m = -2.5m -2.5m + 6.4p + -4.2p = 0 Combine like terms: 6.4p + -4.2p = 2.2p -2.5m + 2.2p = 0 Solving -2.5m + 2.2p = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2.2p' to each side of the equation. -2.5m + 2.2p + -2.2p = 0 + -2.2p Combine like terms: 2.2p + -2.2p = 0.0 -2.5m + 0.0 = 0 + -2.2p -2.5m = 0 + -2.2p Remove the zero: -2.5m = -2.2p Divide each side by '-2.5'. m = 0.88p Simplifying m = 0.88p
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