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Simplifying 6p + -30 = 6(1 + 7p) Reorder the terms: -30 + 6p = 6(1 + 7p) -30 + 6p = (1 * 6 + 7p * 6) -30 + 6p = (6 + 42p) Solving -30 + 6p = 6 + 42p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-42p' to each side of the equation. -30 + 6p + -42p = 6 + 42p + -42p Combine like terms: 6p + -42p = -36p -30 + -36p = 6 + 42p + -42p Combine like terms: 42p + -42p = 0 -30 + -36p = 6 + 0 -30 + -36p = 6 Add '30' to each side of the equation. -30 + 30 + -36p = 6 + 30 Combine like terms: -30 + 30 = 0 0 + -36p = 6 + 30 -36p = 6 + 30 Combine like terms: 6 + 30 = 36 -36p = 36 Divide each side by '-36'. p = -1 Simplifying p = -1
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