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Simplifying -4(p + 3) + -10k = 30 Reorder the terms: -4(3 + p) + -10k = 30 (3 * -4 + p * -4) + -10k = 30 (-12 + -4p) + -10k = 30 Reorder the terms: -12 + -10k + -4p = 30 Solving -12 + -10k + -4p = 30 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '12' to each side of the equation. -12 + -10k + 12 + -4p = 30 + 12 Reorder the terms: -12 + 12 + -10k + -4p = 30 + 12 Combine like terms: -12 + 12 = 0 0 + -10k + -4p = 30 + 12 -10k + -4p = 30 + 12 Combine like terms: 30 + 12 = 42 -10k + -4p = 42 Add '4p' to each side of the equation. -10k + -4p + 4p = 42 + 4p Combine like terms: -4p + 4p = 0 -10k + 0 = 42 + 4p -10k = 42 + 4p Divide each side by '-10'. k = -4.2 + -0.4p Simplifying k = -4.2 + -0.4p
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