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Simplifying 3p + -19 = 6(p + -7) Reorder the terms: -19 + 3p = 6(p + -7) Reorder the terms: -19 + 3p = 6(-7 + p) -19 + 3p = (-7 * 6 + p * 6) -19 + 3p = (-42 + 6p) Solving -19 + 3p = -42 + 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. -19 + 3p + -6p = -42 + 6p + -6p Combine like terms: 3p + -6p = -3p -19 + -3p = -42 + 6p + -6p Combine like terms: 6p + -6p = 0 -19 + -3p = -42 + 0 -19 + -3p = -42 Add '19' to each side of the equation. -19 + 19 + -3p = -42 + 19 Combine like terms: -19 + 19 = 0 0 + -3p = -42 + 19 -3p = -42 + 19 Combine like terms: -42 + 19 = -23 -3p = -23 Divide each side by '-3'. p = 7.666666667 Simplifying p = 7.666666667
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