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Simplifying 7(l + p) + -1 = 3p + -2 + 4(p + 2) (l * 7 + p * 7) + -1 = 3p + -2 + 4(p + 2) (7l + 7p) + -1 = 3p + -2 + 4(p + 2) Reorder the terms: -1 + 7l + 7p = 3p + -2 + 4(p + 2) Reorder the terms: -1 + 7l + 7p = 3p + -2 + 4(2 + p) -1 + 7l + 7p = 3p + -2 + (2 * 4 + p * 4) -1 + 7l + 7p = 3p + -2 + (8 + 4p) Reorder the terms: -1 + 7l + 7p = -2 + 8 + 3p + 4p Combine like terms: -2 + 8 = 6 -1 + 7l + 7p = 6 + 3p + 4p Combine like terms: 3p + 4p = 7p -1 + 7l + 7p = 6 + 7p Add '-7p' to each side of the equation. -1 + 7l + 7p + -7p = 6 + 7p + -7p Combine like terms: 7p + -7p = 0 -1 + 7l + 0 = 6 + 7p + -7p -1 + 7l = 6 + 7p + -7p Combine like terms: 7p + -7p = 0 -1 + 7l = 6 + 0 -1 + 7l = 6 Solving -1 + 7l = 6 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 7l = 6 + 1 Combine like terms: -1 + 1 = 0 0 + 7l = 6 + 1 7l = 6 + 1 Combine like terms: 6 + 1 = 7 7l = 7 Divide each side by '7'. l = 1 Simplifying l = 1
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