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Simplifying -7(4p + 3) + -45 = 5(5p + 8) Reorder the terms: -7(3 + 4p) + -45 = 5(5p + 8) (3 * -7 + 4p * -7) + -45 = 5(5p + 8) (-21 + -28p) + -45 = 5(5p + 8) Reorder the terms: -21 + -45 + -28p = 5(5p + 8) Combine like terms: -21 + -45 = -66 -66 + -28p = 5(5p + 8) Reorder the terms: -66 + -28p = 5(8 + 5p) -66 + -28p = (8 * 5 + 5p * 5) -66 + -28p = (40 + 25p) Solving -66 + -28p = 40 + 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. -66 + -28p + -25p = 40 + 25p + -25p Combine like terms: -28p + -25p = -53p -66 + -53p = 40 + 25p + -25p Combine like terms: 25p + -25p = 0 -66 + -53p = 40 + 0 -66 + -53p = 40 Add '66' to each side of the equation. -66 + 66 + -53p = 40 + 66 Combine like terms: -66 + 66 = 0 0 + -53p = 40 + 66 -53p = 40 + 66 Combine like terms: 40 + 66 = 106 -53p = 106 Divide each side by '-53'. p = -2 Simplifying p = -2
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