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Simplifying -6p + -3(6 + -4p) = 4(p + -4) * 16 -6p + (6 * -3 + -4p * -3) = 4(p + -4) * 16 -6p + (-18 + 12p) = 4(p + -4) * 16 Reorder the terms: -18 + -6p + 12p = 4(p + -4) * 16 Combine like terms: -6p + 12p = 6p -18 + 6p = 4(p + -4) * 16 Reorder the terms: -18 + 6p = 4(-4 + p) * 16 Reorder the terms for easier multiplication: -18 + 6p = 4 * 16(-4 + p) Multiply 4 * 16 -18 + 6p = 64(-4 + p) -18 + 6p = (-4 * 64 + p * 64) -18 + 6p = (-256 + 64p) Solving -18 + 6p = -256 + 64p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-64p' to each side of the equation. -18 + 6p + -64p = -256 + 64p + -64p Combine like terms: 6p + -64p = -58p -18 + -58p = -256 + 64p + -64p Combine like terms: 64p + -64p = 0 -18 + -58p = -256 + 0 -18 + -58p = -256 Add '18' to each side of the equation. -18 + 18 + -58p = -256 + 18 Combine like terms: -18 + 18 = 0 0 + -58p = -256 + 18 -58p = -256 + 18 Combine like terms: -256 + 18 = -238 -58p = -238 Divide each side by '-58'. p = 4.103448276 Simplifying p = 4.103448276
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