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Simplifying 5(-5p + -6) + -3 = -7p + 39 Reorder the terms: 5(-6 + -5p) + -3 = -7p + 39 (-6 * 5 + -5p * 5) + -3 = -7p + 39 (-30 + -25p) + -3 = -7p + 39 Reorder the terms: -30 + -3 + -25p = -7p + 39 Combine like terms: -30 + -3 = -33 -33 + -25p = -7p + 39 Reorder the terms: -33 + -25p = 39 + -7p Solving -33 + -25p = 39 + -7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '7p' to each side of the equation. -33 + -25p + 7p = 39 + -7p + 7p Combine like terms: -25p + 7p = -18p -33 + -18p = 39 + -7p + 7p Combine like terms: -7p + 7p = 0 -33 + -18p = 39 + 0 -33 + -18p = 39 Add '33' to each side of the equation. -33 + 33 + -18p = 39 + 33 Combine like terms: -33 + 33 = 0 0 + -18p = 39 + 33 -18p = 39 + 33 Combine like terms: 39 + 33 = 72 -18p = 72 Divide each side by '-18'. p = -4 Simplifying p = -4
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