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Simplifying 15x + 2 = -4(4 + -6x) + -9(n + -7) Reorder the terms: 2 + 15x = -4(4 + -6x) + -9(n + -7) 2 + 15x = (4 * -4 + -6x * -4) + -9(n + -7) 2 + 15x = (-16 + 24x) + -9(n + -7) Reorder the terms: 2 + 15x = -16 + 24x + -9(-7 + n) 2 + 15x = -16 + 24x + (-7 * -9 + n * -9) 2 + 15x = -16 + 24x + (63 + -9n) Reorder the terms: 2 + 15x = -16 + 63 + -9n + 24x Combine like terms: -16 + 63 = 47 2 + 15x = 47 + -9n + 24x Solving 2 + 15x = 47 + -9n + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 2 + 15x + -24x = 47 + -9n + 24x + -24x Combine like terms: 15x + -24x = -9x 2 + -9x = 47 + -9n + 24x + -24x Combine like terms: 24x + -24x = 0 2 + -9x = 47 + -9n + 0 2 + -9x = 47 + -9n Add '-2' to each side of the equation. 2 + -2 + -9x = 47 + -2 + -9n Combine like terms: 2 + -2 = 0 0 + -9x = 47 + -2 + -9n -9x = 47 + -2 + -9n Combine like terms: 47 + -2 = 45 -9x = 45 + -9n Divide each side by '-9'. x = -5 + n Simplifying x = -5 + n
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