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Simplifying 7m + 19 = 48 + 2m + 7 + 3.5(m + -6) + m Reorder the terms: 19 + 7m = 48 + 2m + 7 + 3.5(m + -6) + m Reorder the terms: 19 + 7m = 48 + 2m + 7 + 3.5(-6 + m) + m 19 + 7m = 48 + 2m + 7 + (-6 * 3.5 + m * 3.5) + m 19 + 7m = 48 + 2m + 7 + (-21 + 3.5m) + m Reorder the terms: 19 + 7m = 48 + 7 + -21 + 2m + 3.5m + m Combine like terms: 48 + 7 = 55 19 + 7m = 55 + -21 + 2m + 3.5m + m Combine like terms: 55 + -21 = 34 19 + 7m = 34 + 2m + 3.5m + m Combine like terms: 2m + 3.5m = 5.5m 19 + 7m = 34 + 5.5m + m Combine like terms: 5.5m + m = 6.5m 19 + 7m = 34 + 6.5m Solving 19 + 7m = 34 + 6.5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6.5m' to each side of the equation. 19 + 7m + -6.5m = 34 + 6.5m + -6.5m Combine like terms: 7m + -6.5m = 0.5m 19 + 0.5m = 34 + 6.5m + -6.5m Combine like terms: 6.5m + -6.5m = 0.0 19 + 0.5m = 34 + 0.0 19 + 0.5m = 34 Add '-19' to each side of the equation. 19 + -19 + 0.5m = 34 + -19 Combine like terms: 19 + -19 = 0 0 + 0.5m = 34 + -19 0.5m = 34 + -19 Combine like terms: 34 + -19 = 15 0.5m = 15 Divide each side by '0.5'. m = 30 Simplifying m = 30
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