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Simplifying 4(2x2 + -6m) + (m + -3) = 0 Reorder the terms: 4(-6m + 2x2) + (m + -3) = 0 (-6m * 4 + 2x2 * 4) + (m + -3) = 0 (-24m + 8x2) + (m + -3) = 0 Reorder the terms: -24m + 8x2 + (-3 + m) = 0 Remove parenthesis around (-3 + m) -24m + 8x2 + -3 + m = 0 Reorder the terms: -3 + -24m + m + 8x2 = 0 Combine like terms: -24m + m = -23m -3 + -23m + 8x2 = 0 Solving -3 + -23m + 8x2 = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '3' to each side of the equation. -3 + -23m + 3 + 8x2 = 0 + 3 Reorder the terms: -3 + 3 + -23m + 8x2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -23m + 8x2 = 0 + 3 -23m + 8x2 = 0 + 3 Combine like terms: 0 + 3 = 3 -23m + 8x2 = 3 Add '-8x2' to each side of the equation. -23m + 8x2 + -8x2 = 3 + -8x2 Combine like terms: 8x2 + -8x2 = 0 -23m + 0 = 3 + -8x2 -23m = 3 + -8x2 Divide each side by '-23'. m = -0.1304347826 + 0.347826087x2 Simplifying m = -0.1304347826 + 0.347826087x2
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