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Simplifying 4(k + -3) + 1 = 34 Reorder the terms: 4(-3 + k) + 1 = 34 (-3 * 4 + k * 4) + 1 = 34 (-12 + 4k) + 1 = 34 Reorder the terms: -12 + 1 + 4k = 34 Combine like terms: -12 + 1 = -11 -11 + 4k = 34 Solving -11 + 4k = 34 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 4k = 34 + 11 Combine like terms: -11 + 11 = 0 0 + 4k = 34 + 11 4k = 34 + 11 Combine like terms: 34 + 11 = 45 4k = 45 Divide each side by '4'. k = 11.25 Simplifying k = 11.25
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