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Simplifying 4(p + 6q + -10) = 0 Reorder the terms: 4(-10 + p + 6q) = 0 (-10 * 4 + p * 4 + 6q * 4) = 0 (-40 + 4p + 24q) = 0 Solving -40 + 4p + 24q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 4p + 40 + 24q = 0 + 40 Reorder the terms: -40 + 40 + 4p + 24q = 0 + 40 Combine like terms: -40 + 40 = 0 0 + 4p + 24q = 0 + 40 4p + 24q = 0 + 40 Combine like terms: 0 + 40 = 40 4p + 24q = 40 Add '-24q' to each side of the equation. 4p + 24q + -24q = 40 + -24q Combine like terms: 24q + -24q = 0 4p + 0 = 40 + -24q 4p = 40 + -24q Divide each side by '4'. p = 10 + -6q Simplifying p = 10 + -6q
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