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Simplifying m2 + -16 = m2 + 6m + 12 Reorder the terms: -16 + m2 = m2 + 6m + 12 Reorder the terms: -16 + m2 = 12 + 6m + m2 Add '-1m2' to each side of the equation. -16 + m2 + -1m2 = 12 + 6m + m2 + -1m2 Combine like terms: m2 + -1m2 = 0 -16 + 0 = 12 + 6m + m2 + -1m2 -16 = 12 + 6m + m2 + -1m2 Combine like terms: m2 + -1m2 = 0 -16 = 12 + 6m + 0 -16 = 12 + 6m Solving -16 = 12 + 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. -16 + -6m = 12 + 6m + -6m Combine like terms: 6m + -6m = 0 -16 + -6m = 12 + 0 -16 + -6m = 12 Add '16' to each side of the equation. -16 + 16 + -6m = 12 + 16 Combine like terms: -16 + 16 = 0 0 + -6m = 12 + 16 -6m = 12 + 16 Combine like terms: 12 + 16 = 28 -6m = 28 Divide each side by '-6'. m = -4.666666667 Simplifying m = -4.666666667
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