-4(1-2p)+5(8p-6)=14

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Solution for -4(1-2p)+5(8p-6)=14 equation:


Simplifying
-4(1 + -2p) + 5(8p + -6) = 14
(1 * -4 + -2p * -4) + 5(8p + -6) = 14
(-4 + 8p) + 5(8p + -6) = 14

Reorder the terms:
-4 + 8p + 5(-6 + 8p) = 14
-4 + 8p + (-6 * 5 + 8p * 5) = 14
-4 + 8p + (-30 + 40p) = 14

Reorder the terms:
-4 + -30 + 8p + 40p = 14

Combine like terms: -4 + -30 = -34
-34 + 8p + 40p = 14

Combine like terms: 8p + 40p = 48p
-34 + 48p = 14

Solving
-34 + 48p = 14

Solving for variable 'p'.

Move all terms containing p to the left, all other terms to the right.

Add '34' to each side of the equation.
-34 + 34 + 48p = 14 + 34

Combine like terms: -34 + 34 = 0
0 + 48p = 14 + 34
48p = 14 + 34

Combine like terms: 14 + 34 = 48
48p = 48

Divide each side by '48'.
p = 1

Simplifying
p = 1

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