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Simplifying 10(-11 + -4p) + -2p = 2(-1 + -3p) (-11 * 10 + -4p * 10) + -2p = 2(-1 + -3p) (-110 + -40p) + -2p = 2(-1 + -3p) Combine like terms: -40p + -2p = -42p -110 + -42p = 2(-1 + -3p) -110 + -42p = (-1 * 2 + -3p * 2) -110 + -42p = (-2 + -6p) Solving -110 + -42p = -2 + -6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '6p' to each side of the equation. -110 + -42p + 6p = -2 + -6p + 6p Combine like terms: -42p + 6p = -36p -110 + -36p = -2 + -6p + 6p Combine like terms: -6p + 6p = 0 -110 + -36p = -2 + 0 -110 + -36p = -2 Add '110' to each side of the equation. -110 + 110 + -36p = -2 + 110 Combine like terms: -110 + 110 = 0 0 + -36p = -2 + 110 -36p = -2 + 110 Combine like terms: -2 + 110 = 108 -36p = 108 Divide each side by '-36'. p = -3 Simplifying p = -3
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