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Simplifying 6(-2 + -2p) + 5 = -3p + -7(1 + -4p) (-2 * 6 + -2p * 6) + 5 = -3p + -7(1 + -4p) (-12 + -12p) + 5 = -3p + -7(1 + -4p) Reorder the terms: -12 + 5 + -12p = -3p + -7(1 + -4p) Combine like terms: -12 + 5 = -7 -7 + -12p = -3p + -7(1 + -4p) -7 + -12p = -3p + (1 * -7 + -4p * -7) -7 + -12p = -3p + (-7 + 28p) Reorder the terms: -7 + -12p = -7 + -3p + 28p Combine like terms: -3p + 28p = 25p -7 + -12p = -7 + 25p Add '7' to each side of the equation. -7 + 7 + -12p = -7 + 7 + 25p Combine like terms: -7 + 7 = 0 0 + -12p = -7 + 7 + 25p -12p = -7 + 7 + 25p Combine like terms: -7 + 7 = 0 -12p = 0 + 25p -12p = 25p Solving -12p = 25p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-25p' to each side of the equation. -12p + -25p = 25p + -25p Combine like terms: -12p + -25p = -37p -37p = 25p + -25p Combine like terms: 25p + -25p = 0 -37p = 0 Divide each side by '-37'. p = 0 Simplifying p = 0
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