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Simplifying 5p + 4(1 + -3p) = -6p + 3 5p + (1 * 4 + -3p * 4) = -6p + 3 5p + (4 + -12p) = -6p + 3 Reorder the terms: 4 + 5p + -12p = -6p + 3 Combine like terms: 5p + -12p = -7p 4 + -7p = -6p + 3 Reorder the terms: 4 + -7p = 3 + -6p Solving 4 + -7p = 3 + -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. 4 + -7p + 6p = 3 + -6p + 6p Combine like terms: -7p + 6p = -1p 4 + -1p = 3 + -6p + 6p Combine like terms: -6p + 6p = 0 4 + -1p = 3 + 0 4 + -1p = 3 Add '-4' to each side of the equation. 4 + -4 + -1p = 3 + -4 Combine like terms: 4 + -4 = 0 0 + -1p = 3 + -4 -1p = 3 + -4 Combine like terms: 3 + -4 = -1 -1p = -1 Divide each side by '-1'. p = 1 Simplifying p = 1
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