-4(2p-5)-6(5p+2)=46

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Solution for -4(2p-5)-6(5p+2)=46 equation: 


Simplifying
-4(2p + -5) + -6(5p + 2) = 46

Reorder the terms:
-4(-5 + 2p) + -6(5p + 2) = 46
(-5 * -4 + 2p * -4) + -6(5p + 2) = 46
(20 + -8p) + -6(5p + 2) = 46

Reorder the terms:
20 + -8p + -6(2 + 5p) = 46
20 + -8p + (2 * -6 + 5p * -6) = 46
20 + -8p + (-12 + -30p) = 46

Reorder the terms:
20 + -12 + -8p + -30p = 46

Combine like terms: 20 + -12 = 8
8 + -8p + -30p = 46

Combine like terms: -8p + -30p = -38p
8 + -38p = 46

Solving
8 + -38p = 46

Solving for variable 'p'.

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

Add '-8' to each side of the equation.
8 + -8 + -38p = 46 + -8

Combine like terms: 8 + -8 = 0
0 + -38p = 46 + -8
-38p = 46 + -8

Combine like terms: 46 + -8 = 38
-38p = 38

Divide each side by '-38'.
p = -1

Simplifying
p = -1

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