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Simplifying 5(6p + 1) + -13 = 4(10p + -16) Reorder the terms: 5(1 + 6p) + -13 = 4(10p + -16) (1 * 5 + 6p * 5) + -13 = 4(10p + -16) (5 + 30p) + -13 = 4(10p + -16) Reorder the terms: 5 + -13 + 30p = 4(10p + -16) Combine like terms: 5 + -13 = -8 -8 + 30p = 4(10p + -16) Reorder the terms: -8 + 30p = 4(-16 + 10p) -8 + 30p = (-16 * 4 + 10p * 4) -8 + 30p = (-64 + 40p) Solving -8 + 30p = -64 + 40p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-40p' to each side of the equation. -8 + 30p + -40p = -64 + 40p + -40p Combine like terms: 30p + -40p = -10p -8 + -10p = -64 + 40p + -40p Combine like terms: 40p + -40p = 0 -8 + -10p = -64 + 0 -8 + -10p = -64 Add '8' to each side of the equation. -8 + 8 + -10p = -64 + 8 Combine like terms: -8 + 8 = 0 0 + -10p = -64 + 8 -10p = -64 + 8 Combine like terms: -64 + 8 = -56 -10p = -56 Divide each side by '-10'. p = 5.6 Simplifying p = 5.6
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