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Simplifying 3(2p + -7) + -5 = 4(3p + -2) Reorder the terms: 3(-7 + 2p) + -5 = 4(3p + -2) (-7 * 3 + 2p * 3) + -5 = 4(3p + -2) (-21 + 6p) + -5 = 4(3p + -2) Reorder the terms: -21 + -5 + 6p = 4(3p + -2) Combine like terms: -21 + -5 = -26 -26 + 6p = 4(3p + -2) Reorder the terms: -26 + 6p = 4(-2 + 3p) -26 + 6p = (-2 * 4 + 3p * 4) -26 + 6p = (-8 + 12p) Solving -26 + 6p = -8 + 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. -26 + 6p + -12p = -8 + 12p + -12p Combine like terms: 6p + -12p = -6p -26 + -6p = -8 + 12p + -12p Combine like terms: 12p + -12p = 0 -26 + -6p = -8 + 0 -26 + -6p = -8 Add '26' to each side of the equation. -26 + 26 + -6p = -8 + 26 Combine like terms: -26 + 26 = 0 0 + -6p = -8 + 26 -6p = -8 + 26 Combine like terms: -8 + 26 = 18 -6p = 18 Divide each side by '-6'. p = -3 Simplifying p = -3
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