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