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Simplifying 11 + -2(i + 3p) = 49 11 + (i * -2 + 3p * -2) = 49 11 + (-2i + -6p) = 49 Solving 11 + -2i + -6p = 49 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -2i + -11 + -6p = 49 + -11 Reorder the terms: 11 + -11 + -2i + -6p = 49 + -11 Combine like terms: 11 + -11 = 0 0 + -2i + -6p = 49 + -11 -2i + -6p = 49 + -11 Combine like terms: 49 + -11 = 38 -2i + -6p = 38 Add '6p' to each side of the equation. -2i + -6p + 6p = 38 + 6p Combine like terms: -6p + 6p = 0 -2i + 0 = 38 + 6p -2i = 38 + 6p Divide each side by '-2'. i = -19 + -3p Simplifying i = -19 + -3p
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