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Simplifying 347 = 4p + 7(6p + -3) Reorder the terms: 347 = 4p + 7(-3 + 6p) 347 = 4p + (-3 * 7 + 6p * 7) 347 = 4p + (-21 + 42p) Reorder the terms: 347 = -21 + 4p + 42p Combine like terms: 4p + 42p = 46p 347 = -21 + 46p Solving 347 = -21 + 46p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-46p' to each side of the equation. 347 + -46p = -21 + 46p + -46p Combine like terms: 46p + -46p = 0 347 + -46p = -21 + 0 347 + -46p = -21 Add '-347' to each side of the equation. 347 + -347 + -46p = -21 + -347 Combine like terms: 347 + -347 = 0 0 + -46p = -21 + -347 -46p = -21 + -347 Combine like terms: -21 + -347 = -368 -46p = -368 Divide each side by '-46'. p = 8 Simplifying p = 8
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