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Simplifying -100 = -6p + -1(7p + -4) Reorder the terms: -100 = -6p + -1(-4 + 7p) -100 = -6p + (-4 * -1 + 7p * -1) -100 = -6p + (4 + -7p) Reorder the terms: -100 = 4 + -6p + -7p Combine like terms: -6p + -7p = -13p -100 = 4 + -13p Solving -100 = 4 + -13p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '13p' to each side of the equation. -100 + 13p = 4 + -13p + 13p Combine like terms: -13p + 13p = 0 -100 + 13p = 4 + 0 -100 + 13p = 4 Add '100' to each side of the equation. -100 + 100 + 13p = 4 + 100 Combine like terms: -100 + 100 = 0 0 + 13p = 4 + 100 13p = 4 + 100 Combine like terms: 4 + 100 = 104 13p = 104 Divide each side by '13'. p = 8 Simplifying p = 8
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