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Simplifying 6(m + 7 + t) + 6m = 0 Reorder the terms: 6(7 + m + t) + 6m = 0 (7 * 6 + m * 6 + t * 6) + 6m = 0 (42 + 6m + 6t) + 6m = 0 Reorder the terms: 42 + 6m + 6m + 6t = 0 Combine like terms: 6m + 6m = 12m 42 + 12m + 6t = 0 Solving 42 + 12m + 6t = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + 12m + -42 + 6t = 0 + -42 Reorder the terms: 42 + -42 + 12m + 6t = 0 + -42 Combine like terms: 42 + -42 = 0 0 + 12m + 6t = 0 + -42 12m + 6t = 0 + -42 Combine like terms: 0 + -42 = -42 12m + 6t = -42 Add '-6t' to each side of the equation. 12m + 6t + -6t = -42 + -6t Combine like terms: 6t + -6t = 0 12m + 0 = -42 + -6t 12m = -42 + -6t Divide each side by '12'. m = -3.5 + -0.5t Simplifying m = -3.5 + -0.5t
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