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Simplifying m(m + -4) + -6 = m(m + 2) Reorder the terms: m(-4 + m) + -6 = m(m + 2) (-4 * m + m * m) + -6 = m(m + 2) (-4m + m2) + -6 = m(m + 2) Reorder the terms: -6 + -4m + m2 = m(m + 2) Reorder the terms: -6 + -4m + m2 = m(2 + m) -6 + -4m + m2 = (2 * m + m * m) -6 + -4m + m2 = (2m + m2) Add '-1m2' to each side of the equation. -6 + -4m + m2 + -1m2 = 2m + m2 + -1m2 Combine like terms: m2 + -1m2 = 0 -6 + -4m + 0 = 2m + m2 + -1m2 -6 + -4m = 2m + m2 + -1m2 Combine like terms: m2 + -1m2 = 0 -6 + -4m = 2m + 0 -6 + -4m = 2m Solving -6 + -4m = 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. -6 + -4m + -2m = 2m + -2m Combine like terms: -4m + -2m = -6m -6 + -6m = 2m + -2m Combine like terms: 2m + -2m = 0 -6 + -6m = 0 Add '6' to each side of the equation. -6 + 6 + -6m = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -6m = 0 + 6 -6m = 0 + 6 Combine like terms: 0 + 6 = 6 -6m = 6 Divide each side by '-6'. m = -1 Simplifying m = -1
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