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Simplifying 4(5p + -2) + -6(p + 5) = -10p + 5p Reorder the terms: 4(-2 + 5p) + -6(p + 5) = -10p + 5p (-2 * 4 + 5p * 4) + -6(p + 5) = -10p + 5p (-8 + 20p) + -6(p + 5) = -10p + 5p Reorder the terms: -8 + 20p + -6(5 + p) = -10p + 5p -8 + 20p + (5 * -6 + p * -6) = -10p + 5p -8 + 20p + (-30 + -6p) = -10p + 5p Reorder the terms: -8 + -30 + 20p + -6p = -10p + 5p Combine like terms: -8 + -30 = -38 -38 + 20p + -6p = -10p + 5p Combine like terms: 20p + -6p = 14p -38 + 14p = -10p + 5p Combine like terms: -10p + 5p = -5p -38 + 14p = -5p Solving -38 + 14p = -5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '5p' to each side of the equation. -38 + 14p + 5p = -5p + 5p Combine like terms: 14p + 5p = 19p -38 + 19p = -5p + 5p Combine like terms: -5p + 5p = 0 -38 + 19p = 0 Add '38' to each side of the equation. -38 + 38 + 19p = 0 + 38 Combine like terms: -38 + 38 = 0 0 + 19p = 0 + 38 19p = 0 + 38 Combine like terms: 0 + 38 = 38 19p = 38 Divide each side by '19'. p = 2 Simplifying p = 2
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