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Simplifying 1 + 4p + -3p + 12 = 6p + 8 Reorder the terms: 1 + 12 + 4p + -3p = 6p + 8 Combine like terms: 1 + 12 = 13 13 + 4p + -3p = 6p + 8 Combine like terms: 4p + -3p = 1p 13 + 1p = 6p + 8 Reorder the terms: 13 + 1p = 8 + 6p Solving 13 + 1p = 8 + 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. 13 + 1p + -6p = 8 + 6p + -6p Combine like terms: 1p + -6p = -5p 13 + -5p = 8 + 6p + -6p Combine like terms: 6p + -6p = 0 13 + -5p = 8 + 0 13 + -5p = 8 Add '-13' to each side of the equation. 13 + -13 + -5p = 8 + -13 Combine like terms: 13 + -13 = 0 0 + -5p = 8 + -13 -5p = 8 + -13 Combine like terms: 8 + -13 = -5 -5p = -5 Divide each side by '-5'. p = 1 Simplifying p = 1
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