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Simplifying 3[6p + -1] = 11p + -45 Reorder the terms: 3[-1 + 6p] = 11p + -45 [-1 * 3 + 6p * 3] = 11p + -45 [-3 + 18p] = 11p + -45 Reorder the terms: -3 + 18p = -45 + 11p Solving -3 + 18p = -45 + 11p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-11p' to each side of the equation. -3 + 18p + -11p = -45 + 11p + -11p Combine like terms: 18p + -11p = 7p -3 + 7p = -45 + 11p + -11p Combine like terms: 11p + -11p = 0 -3 + 7p = -45 + 0 -3 + 7p = -45 Add '3' to each side of the equation. -3 + 3 + 7p = -45 + 3 Combine like terms: -3 + 3 = 0 0 + 7p = -45 + 3 7p = -45 + 3 Combine like terms: -45 + 3 = -42 7p = -42 Divide each side by '7'. p = -6 Simplifying p = -6
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