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Simplifying -5p + -10 = 2(-6p + 2) + 6(5 + 3p) Reorder the terms: -10 + -5p = 2(-6p + 2) + 6(5 + 3p) Reorder the terms: -10 + -5p = 2(2 + -6p) + 6(5 + 3p) -10 + -5p = (2 * 2 + -6p * 2) + 6(5 + 3p) -10 + -5p = (4 + -12p) + 6(5 + 3p) -10 + -5p = 4 + -12p + (5 * 6 + 3p * 6) -10 + -5p = 4 + -12p + (30 + 18p) Reorder the terms: -10 + -5p = 4 + 30 + -12p + 18p Combine like terms: 4 + 30 = 34 -10 + -5p = 34 + -12p + 18p Combine like terms: -12p + 18p = 6p -10 + -5p = 34 + 6p Solving -10 + -5p = 34 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. -10 + -5p + -6p = 34 + 6p + -6p Combine like terms: -5p + -6p = -11p -10 + -11p = 34 + 6p + -6p Combine like terms: 6p + -6p = 0 -10 + -11p = 34 + 0 -10 + -11p = 34 Add '10' to each side of the equation. -10 + 10 + -11p = 34 + 10 Combine like terms: -10 + 10 = 0 0 + -11p = 34 + 10 -11p = 34 + 10 Combine like terms: 34 + 10 = 44 -11p = 44 Divide each side by '-11'. p = -4 Simplifying p = -4
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