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Simplifying 5z(3a + -4b + 2m) = 0 (3a * 5z + -4b * 5z + 2m * 5z) = 0 (15az + -20bz + 10mz) = 0 Solving 15az + -20bz + 10mz = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '20bz' to each side of the equation. 15az + -20bz + 20bz + 10mz = 0 + 20bz Combine like terms: -20bz + 20bz = 0 15az + 0 + 10mz = 0 + 20bz 15az + 10mz = 0 + 20bz Remove the zero: 15az + 10mz = 20bz Add '-10mz' to each side of the equation. 15az + 10mz + -10mz = 20bz + -10mz Combine like terms: 10mz + -10mz = 0 15az + 0 = 20bz + -10mz 15az = 20bz + -10mz Divide each side by '15z'. a = 1.333333333b + -0.6666666667m Simplifying a = 1.333333333b + -0.6666666667m
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