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Simplifying 10p + -2(x + 50) + -6 = 0.4(3x + 20) Reorder the terms: 10p + -2(50 + x) + -6 = 0.4(3x + 20) 10p + (50 * -2 + x * -2) + -6 = 0.4(3x + 20) 10p + (-100 + -2x) + -6 = 0.4(3x + 20) Reorder the terms: -100 + -6 + 10p + -2x = 0.4(3x + 20) Combine like terms: -100 + -6 = -106 -106 + 10p + -2x = 0.4(3x + 20) Reorder the terms: -106 + 10p + -2x = 0.4(20 + 3x) -106 + 10p + -2x = (20 * 0.4 + 3x * 0.4) -106 + 10p + -2x = (8 + 1.2x) Solving -106 + 10p + -2x = 8 + 1.2x Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '106' to each side of the equation. -106 + 10p + 106 + -2x = 8 + 106 + 1.2x Reorder the terms: -106 + 106 + 10p + -2x = 8 + 106 + 1.2x Combine like terms: -106 + 106 = 0 0 + 10p + -2x = 8 + 106 + 1.2x 10p + -2x = 8 + 106 + 1.2x Combine like terms: 8 + 106 = 114 10p + -2x = 114 + 1.2x Add '2x' to each side of the equation. 10p + -2x + 2x = 114 + 1.2x + 2x Combine like terms: -2x + 2x = 0 10p + 0 = 114 + 1.2x + 2x 10p = 114 + 1.2x + 2x Combine like terms: 1.2x + 2x = 3.2x 10p = 114 + 3.2x Divide each side by '10'. p = 11.4 + 0.32x Simplifying p = 11.4 + 0.32x
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