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Simplifying 5m + n = 7(m + -3) Reorder the terms: 5m + n = 7(-3 + m) 5m + n = (-3 * 7 + m * 7) 5m + n = (-21 + 7m) Solving 5m + n = -21 + 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. 5m + -7m + n = -21 + 7m + -7m Combine like terms: 5m + -7m = -2m -2m + n = -21 + 7m + -7m Combine like terms: 7m + -7m = 0 -2m + n = -21 + 0 -2m + n = -21 Add '-1n' to each side of the equation. -2m + n + -1n = -21 + -1n Combine like terms: n + -1n = 0 -2m + 0 = -21 + -1n -2m = -21 + -1n Divide each side by '-2'. m = 10.5 + 0.5n Simplifying m = 10.5 + 0.5n
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