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Simplifying 98 + -6(p + 9) = 4(p + 1) Reorder the terms: 98 + -6(9 + p) = 4(p + 1) 98 + (9 * -6 + p * -6) = 4(p + 1) 98 + (-54 + -6p) = 4(p + 1) Combine like terms: 98 + -54 = 44 44 + -6p = 4(p + 1) Reorder the terms: 44 + -6p = 4(1 + p) 44 + -6p = (1 * 4 + p * 4) 44 + -6p = (4 + 4p) Solving 44 + -6p = 4 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. 44 + -6p + -4p = 4 + 4p + -4p Combine like terms: -6p + -4p = -10p 44 + -10p = 4 + 4p + -4p Combine like terms: 4p + -4p = 0 44 + -10p = 4 + 0 44 + -10p = 4 Add '-44' to each side of the equation. 44 + -44 + -10p = 4 + -44 Combine like terms: 44 + -44 = 0 0 + -10p = 4 + -44 -10p = 4 + -44 Combine like terms: 4 + -44 = -40 -10p = -40 Divide each side by '-10'. p = 4 Simplifying p = 4
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