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Simplifying -7.1(-4.4m + 3.6) = -3.5 + 0.4(7.9 + 3.503m) Reorder the terms: -7.1(3.6 + -4.4m) = -3.5 + 0.4(7.9 + 3.503m) (3.6 * -7.1 + -4.4m * -7.1) = -3.5 + 0.4(7.9 + 3.503m) (-25.56 + 31.24m) = -3.5 + 0.4(7.9 + 3.503m) -25.56 + 31.24m = -3.5 + (7.9 * 0.4 + 3.503m * 0.4) -25.56 + 31.24m = -3.5 + (3.16 + 1.4012m) Combine like terms: -3.5 + 3.16 = -0.34 -25.56 + 31.24m = -0.34 + 1.4012m Solving -25.56 + 31.24m = -0.34 + 1.4012m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1.4012m' to each side of the equation. -25.56 + 31.24m + -1.4012m = -0.34 + 1.4012m + -1.4012m Combine like terms: 31.24m + -1.4012m = 29.8388m -25.56 + 29.8388m = -0.34 + 1.4012m + -1.4012m Combine like terms: 1.4012m + -1.4012m = 0.0000 -25.56 + 29.8388m = -0.34 + 0.0000 -25.56 + 29.8388m = -0.34 Add '25.56' to each side of the equation. -25.56 + 25.56 + 29.8388m = -0.34 + 25.56 Combine like terms: -25.56 + 25.56 = 0.00 0.00 + 29.8388m = -0.34 + 25.56 29.8388m = -0.34 + 25.56 Combine like terms: -0.34 + 25.56 = 25.22 29.8388m = 25.22 Divide each side by '29.8388'. m = 0.8452082523 Simplifying m = 0.8452082523
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