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Simplifying 19 + -19n + 13 = 7(-5n + -16) Reorder the terms: 19 + 13 + -19n = 7(-5n + -16) Combine like terms: 19 + 13 = 32 32 + -19n = 7(-5n + -16) Reorder the terms: 32 + -19n = 7(-16 + -5n) 32 + -19n = (-16 * 7 + -5n * 7) 32 + -19n = (-112 + -35n) Solving 32 + -19n = -112 + -35n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '35n' to each side of the equation. 32 + -19n + 35n = -112 + -35n + 35n Combine like terms: -19n + 35n = 16n 32 + 16n = -112 + -35n + 35n Combine like terms: -35n + 35n = 0 32 + 16n = -112 + 0 32 + 16n = -112 Add '-32' to each side of the equation. 32 + -32 + 16n = -112 + -32 Combine like terms: 32 + -32 = 0 0 + 16n = -112 + -32 16n = -112 + -32 Combine like terms: -112 + -32 = -144 16n = -144 Divide each side by '16'. n = -9 Simplifying n = -9
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