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Simplifying 4p + -3 = 2(-3 + p) + 3(4p + -5) Reorder the terms: -3 + 4p = 2(-3 + p) + 3(4p + -5) -3 + 4p = (-3 * 2 + p * 2) + 3(4p + -5) -3 + 4p = (-6 + 2p) + 3(4p + -5) Reorder the terms: -3 + 4p = -6 + 2p + 3(-5 + 4p) -3 + 4p = -6 + 2p + (-5 * 3 + 4p * 3) -3 + 4p = -6 + 2p + (-15 + 12p) Reorder the terms: -3 + 4p = -6 + -15 + 2p + 12p Combine like terms: -6 + -15 = -21 -3 + 4p = -21 + 2p + 12p Combine like terms: 2p + 12p = 14p -3 + 4p = -21 + 14p Solving -3 + 4p = -21 + 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. -3 + 4p + -14p = -21 + 14p + -14p Combine like terms: 4p + -14p = -10p -3 + -10p = -21 + 14p + -14p Combine like terms: 14p + -14p = 0 -3 + -10p = -21 + 0 -3 + -10p = -21 Add '3' to each side of the equation. -3 + 3 + -10p = -21 + 3 Combine like terms: -3 + 3 = 0 0 + -10p = -21 + 3 -10p = -21 + 3 Combine like terms: -21 + 3 = -18 -10p = -18 Divide each side by '-10'. p = 1.8 Simplifying p = 1.8
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