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Simplifying 6p + 20 = -3(1.5 + -4p) Reorder the terms: 20 + 6p = -3(1.5 + -4p) 20 + 6p = (1.5 * -3 + -4p * -3) 20 + 6p = (-4.5 + 12p) Solving 20 + 6p = -4.5 + 12p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-12p' to each side of the equation. 20 + 6p + -12p = -4.5 + 12p + -12p Combine like terms: 6p + -12p = -6p 20 + -6p = -4.5 + 12p + -12p Combine like terms: 12p + -12p = 0 20 + -6p = -4.5 + 0 20 + -6p = -4.5 Add '-20' to each side of the equation. 20 + -20 + -6p = -4.5 + -20 Combine like terms: 20 + -20 = 0 0 + -6p = -4.5 + -20 -6p = -4.5 + -20 Combine like terms: -4.5 + -20 = -24.5 -6p = -24.5 Divide each side by '-6'. p = 4.083333333 Simplifying p = 4.083333333
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