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Simplifying -1(-7p) + -2 = -6(2p + -3) + -2p Remove parenthesis around (-7p) -1 * -7p + -2 = -6(2p + -3) + -2p Multiply -1 * -7 7p + -2 = -6(2p + -3) + -2p Reorder the terms: -2 + 7p = -6(2p + -3) + -2p Reorder the terms: -2 + 7p = -6(-3 + 2p) + -2p -2 + 7p = (-3 * -6 + 2p * -6) + -2p -2 + 7p = (18 + -12p) + -2p Combine like terms: -12p + -2p = -14p -2 + 7p = 18 + -14p Solving -2 + 7p = 18 + -14p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '14p' to each side of the equation. -2 + 7p + 14p = 18 + -14p + 14p Combine like terms: 7p + 14p = 21p -2 + 21p = 18 + -14p + 14p Combine like terms: -14p + 14p = 0 -2 + 21p = 18 + 0 -2 + 21p = 18 Add '2' to each side of the equation. -2 + 2 + 21p = 18 + 2 Combine like terms: -2 + 2 = 0 0 + 21p = 18 + 2 21p = 18 + 2 Combine like terms: 18 + 2 = 20 21p = 20 Divide each side by '21'. p = 0.9523809524 Simplifying p = 0.9523809524
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