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Simplifying 10p + 9 + -4 + -1p = -21(2p + 4) + -3(-2) Reorder the terms: 9 + -4 + 10p + -1p = -21(2p + 4) + -3(-2) Combine like terms: 9 + -4 = 5 5 + 10p + -1p = -21(2p + 4) + -3(-2) Combine like terms: 10p + -1p = 9p 5 + 9p = -21(2p + 4) + -3(-2) Reorder the terms: 5 + 9p = -21(4 + 2p) + -3(-2) 5 + 9p = (4 * -21 + 2p * -21) + -3(-2) 5 + 9p = (-84 + -42p) + -3(-2) Multiply -3 * -2 5 + 9p = -84 + -42p + 6 Reorder the terms: 5 + 9p = -84 + 6 + -42p Combine like terms: -84 + 6 = -78 5 + 9p = -78 + -42p Solving 5 + 9p = -78 + -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. 5 + 9p + 42p = -78 + -42p + 42p Combine like terms: 9p + 42p = 51p 5 + 51p = -78 + -42p + 42p Combine like terms: -42p + 42p = 0 5 + 51p = -78 + 0 5 + 51p = -78 Add '-5' to each side of the equation. 5 + -5 + 51p = -78 + -5 Combine like terms: 5 + -5 = 0 0 + 51p = -78 + -5 51p = -78 + -5 Combine like terms: -78 + -5 = -83 51p = -83 Divide each side by '51'. p = -1.62745098 Simplifying p = -1.62745098
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