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Simplifying m2 + -3m + 28 = m2 + 4m + 4 + -6 + 3m + -2 Reorder the terms: 28 + -3m + m2 = m2 + 4m + 4 + -6 + 3m + -2 Reorder the terms: 28 + -3m + m2 = 4 + -6 + -2 + 4m + 3m + m2 Combine like terms: 4 + -6 = -2 28 + -3m + m2 = -2 + -2 + 4m + 3m + m2 Combine like terms: -2 + -2 = -4 28 + -3m + m2 = -4 + 4m + 3m + m2 Combine like terms: 4m + 3m = 7m 28 + -3m + m2 = -4 + 7m + m2 Add '-1m2' to each side of the equation. 28 + -3m + m2 + -1m2 = -4 + 7m + m2 + -1m2 Combine like terms: m2 + -1m2 = 0 28 + -3m + 0 = -4 + 7m + m2 + -1m2 28 + -3m = -4 + 7m + m2 + -1m2 Combine like terms: m2 + -1m2 = 0 28 + -3m = -4 + 7m + 0 28 + -3m = -4 + 7m Solving 28 + -3m = -4 + 7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-7m' to each side of the equation. 28 + -3m + -7m = -4 + 7m + -7m Combine like terms: -3m + -7m = -10m 28 + -10m = -4 + 7m + -7m Combine like terms: 7m + -7m = 0 28 + -10m = -4 + 0 28 + -10m = -4 Add '-28' to each side of the equation. 28 + -28 + -10m = -4 + -28 Combine like terms: 28 + -28 = 0 0 + -10m = -4 + -28 -10m = -4 + -28 Combine like terms: -4 + -28 = -32 -10m = -32 Divide each side by '-10'. m = 3.2 Simplifying m = 3.2
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