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Simplifying 7(-12p + -7) = -10p + -7(7 + 10p) Reorder the terms: 7(-7 + -12p) = -10p + -7(7 + 10p) (-7 * 7 + -12p * 7) = -10p + -7(7 + 10p) (-49 + -84p) = -10p + -7(7 + 10p) -49 + -84p = -10p + (7 * -7 + 10p * -7) -49 + -84p = -10p + (-49 + -70p) Reorder the terms: -49 + -84p = -49 + -10p + -70p Combine like terms: -10p + -70p = -80p -49 + -84p = -49 + -80p Add '49' to each side of the equation. -49 + 49 + -84p = -49 + 49 + -80p Combine like terms: -49 + 49 = 0 0 + -84p = -49 + 49 + -80p -84p = -49 + 49 + -80p Combine like terms: -49 + 49 = 0 -84p = 0 + -80p -84p = -80p Solving -84p = -80p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '80p' to each side of the equation. -84p + 80p = -80p + 80p Combine like terms: -84p + 80p = -4p -4p = -80p + 80p Combine like terms: -80p + 80p = 0 -4p = 0 Divide each side by '-4'. p = 0 Simplifying p = 0
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