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Simplifying 6p + -2(5p + 1) = 2p + 4 Reorder the terms: 6p + -2(1 + 5p) = 2p + 4 6p + (1 * -2 + 5p * -2) = 2p + 4 6p + (-2 + -10p) = 2p + 4 Reorder the terms: -2 + 6p + -10p = 2p + 4 Combine like terms: 6p + -10p = -4p -2 + -4p = 2p + 4 Reorder the terms: -2 + -4p = 4 + 2p Solving -2 + -4p = 4 + 2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. -2 + -4p + -2p = 4 + 2p + -2p Combine like terms: -4p + -2p = -6p -2 + -6p = 4 + 2p + -2p Combine like terms: 2p + -2p = 0 -2 + -6p = 4 + 0 -2 + -6p = 4 Add '2' to each side of the equation. -2 + 2 + -6p = 4 + 2 Combine like terms: -2 + 2 = 0 0 + -6p = 4 + 2 -6p = 4 + 2 Combine like terms: 4 + 2 = 6 -6p = 6 Divide each side by '-6'. p = -1 Simplifying p = -1
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