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Simplifying -1p + -40 = -6(5p + 1) + -5 Reorder the terms: -40 + -1p = -6(5p + 1) + -5 Reorder the terms: -40 + -1p = -6(1 + 5p) + -5 -40 + -1p = (1 * -6 + 5p * -6) + -5 -40 + -1p = (-6 + -30p) + -5 Reorder the terms: -40 + -1p = -6 + -5 + -30p Combine like terms: -6 + -5 = -11 -40 + -1p = -11 + -30p Solving -40 + -1p = -11 + -30p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '30p' to each side of the equation. -40 + -1p + 30p = -11 + -30p + 30p Combine like terms: -1p + 30p = 29p -40 + 29p = -11 + -30p + 30p Combine like terms: -30p + 30p = 0 -40 + 29p = -11 + 0 -40 + 29p = -11 Add '40' to each side of the equation. -40 + 40 + 29p = -11 + 40 Combine like terms: -40 + 40 = 0 0 + 29p = -11 + 40 29p = -11 + 40 Combine like terms: -11 + 40 = 29 29p = 29 Divide each side by '29'. p = 1 Simplifying p = 1
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